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Finding the Fourth Proportional to 1,025.77, 1,415.38 and 676.25

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Solution

The fourth proportional to 1,025.77, 1,415.38 and 676.25 is: 933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.77 : 1,415.38 = 676.25 : x
  2. Step 2: Convert to fraction form
    1,025.77/1,415.38 = 676.25/x
  3. Step 3: Cross multiply
    1,025.77x = 1,415.38 × 676.25
  4. Step 4: Simplify right side
    1,025.77x = 957,147.34
  5. Step 5: Solve for x
    x = 957,147.34/1,025.77
  6. Step 6: Final answer
    x = 933.11

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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.