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Finding the Fourth Proportional to 525.29, 724.75 and 400.90

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Solution

The fourth proportional to 525.29, 724.75 and 400.90 is: 553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 724.75 = 400.90 : x
  2. Step 2: Convert to fraction form
    525.29/724.75 = 400.90/x
  3. Step 3: Cross multiply
    525.29x = 724.75 × 400.90
  4. Step 4: Simplify right side
    525.29x = 290,550.82
  5. Step 5: Solve for x
    x = 290,550.82/525.29
  6. Step 6: Final answer
    x = 553.13

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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.