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Finding the Fourth Proportional to 1,025.57, 1,415.26 and 627.10

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Solution

The fourth proportional to 1,025.57, 1,415.26 and 627.10 is: 865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.57 : 1,415.26 = 627.10 : x
  2. Step 2: Convert to fraction form
    1,025.57/1,415.26 = 627.10/x
  3. Step 3: Cross multiply
    1,025.57x = 1,415.26 × 627.10
  4. Step 4: Simplify right side
    1,025.57x = 887,509.55
  5. Step 5: Solve for x
    x = 887,509.55/1,025.57
  6. Step 6: Final answer
    x = 865.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,026.57, 1,416.64 and 628.10
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.