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Finding the Fourth Proportional to 552.52, 761.02 and 512.65

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Solution

The fourth proportional to 552.52, 761.02 and 512.65 is: 706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.52 : 761.02 = 512.65 : x
  2. Step 2: Convert to fraction form
    552.52/761.02 = 512.65/x
  3. Step 3: Cross multiply
    552.52x = 761.02 × 512.65
  4. Step 4: Simplify right side
    552.52x = 390,136.90
  5. Step 5: Solve for x
    x = 390,136.90/552.52
  6. Step 6: Final answer
    x = 706.10

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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.