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Finding the Fourth Proportional to 525, 724.50 and 315.24

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Solution

The fourth proportional to 525, 724.50 and 315.24 is: 435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 724.50 = 315.24 : x
  2. Step 2: Convert to fraction form
    525/724.50 = 315.24/x
  3. Step 3: Cross multiply
    525x = 724.50 × 315.24
  4. Step 4: Simplify right side
    525x = 228,391.38
  5. Step 5: Solve for x
    x = 228,391.38/525
  6. Step 6: Final answer
    x = 435.03

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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.