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Finding the Fourth Proportional to 617.12, 923.52 and 471.68

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Solution

The fourth proportional to 617.12, 923.52 and 471.68 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.12 : 923.52 = 471.68 : x
  2. Step 2: Convert to fraction form
    617.12/923.52 = 471.68/x
  3. Step 3: Cross multiply
    617.12x = 923.52 × 471.68
  4. Step 4: Simplify right side
    617.12x = 435,605.91
  5. Step 5: Solve for x
    x = 435,605.91/617.12
  6. Step 6: Final answer
    x = 705.87

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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.