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Finding the Fourth Proportional to 1,025.87, 1,415.51 and 606.13

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Solution

The fourth proportional to 1,025.87, 1,415.51 and 606.13 is: 836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.87 : 1,415.51 = 606.13 : x
  2. Step 2: Convert to fraction form
    1,025.87/1,415.51 = 606.13/x
  3. Step 3: Cross multiply
    1,025.87x = 1,415.51 × 606.13
  4. Step 4: Simplify right side
    1,025.87x = 857,981.05
  5. Step 5: Solve for x
    x = 857,981.05/1,025.87
  6. Step 6: Final answer
    x = 836.34

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Double scale
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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.