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Finding the Fourth Proportional to 617.24, 920.65 and 524.90

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Solution

The fourth proportional to 617.24, 920.65 and 524.90 is: 782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.24 : 920.65 = 524.90 : x
  2. Step 2: Convert to fraction form
    617.24/920.65 = 524.90/x
  3. Step 3: Cross multiply
    617.24x = 920.65 × 524.90
  4. Step 4: Simplify right side
    617.24x = 483,245.98
  5. Step 5: Solve for x
    x = 483,245.98/617.24
  6. Step 6: Final answer
    x = 782.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.