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Finding the Fourth Proportional to 506.13, 758.34 and 472.29

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Solution

The fourth proportional to 506.13, 758.34 and 472.29 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 758.34 = 472.29 : x
  2. Step 2: Convert to fraction form
    506.13/758.34 = 472.29/x
  3. Step 3: Cross multiply
    506.13x = 758.34 × 472.29
  4. Step 4: Simplify right side
    506.13x = 358,156.40
  5. Step 5: Solve for x
    x = 358,156.40/506.13
  6. Step 6: Final answer
    x = 707.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.