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Finding the Fourth Proportional to 617.28, 924.70 and 501.86

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Solution

The fourth proportional to 617.28, 924.70 and 501.86 is: 751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 924.70 = 501.86 : x
  2. Step 2: Convert to fraction form
    617.28/924.70 = 501.86/x
  3. Step 3: Cross multiply
    617.28x = 924.70 × 501.86
  4. Step 4: Simplify right side
    617.28x = 464,069.94
  5. Step 5: Solve for x
    x = 464,069.94/617.28
  6. Step 6: Final answer
    x = 751.80

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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.