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Finding the Fourth Proportional to 528.30, 724.10 and 524.70

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Solution

The fourth proportional to 528.30, 724.10 and 524.70 is: 719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.30 : 724.10 = 524.70 : x
  2. Step 2: Convert to fraction form
    528.30/724.10 = 524.70/x
  3. Step 3: Cross multiply
    528.30x = 724.10 × 524.70
  4. Step 4: Simplify right side
    528.30x = 379,932.65
  5. Step 5: Solve for x
    x = 379,932.65/528.30
  6. Step 6: Final answer
    x = 719.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.