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Finding the Fourth Proportional to 525.29, 724.85 and 315.43

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Solution

The fourth proportional to 525.29, 724.85 and 315.43 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 724.85 = 315.43 : x
  2. Step 2: Convert to fraction form
    525.29/724.85 = 315.43/x
  3. Step 3: Cross multiply
    525.29x = 724.85 × 315.43
  4. Step 4: Simplify right side
    525.29x = 228,636.05
  5. Step 5: Solve for x
    x = 228,636.05/525.29
  6. Step 6: Final answer
    x = 435.25

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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.