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Finding the Fourth Proportional to 524.52, 728.19 and 508.68

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Solution

The fourth proportional to 524.52, 728.19 and 508.68 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 728.19 = 508.68 : x
  2. Step 2: Convert to fraction form
    524.52/728.19 = 508.68/x
  3. Step 3: Cross multiply
    524.52x = 728.19 × 508.68
  4. Step 4: Simplify right side
    524.52x = 370,415.69
  5. Step 5: Solve for x
    x = 370,415.69/524.52
  6. Step 6: Final answer
    x = 706.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.