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Finding the Fourth Proportional to 617.90, 928.04 and 592.97

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Solution

The fourth proportional to 617.90, 928.04 and 592.97 is: 890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.90 : 928.04 = 592.97 : x
  2. Step 2: Convert to fraction form
    617.90/928.04 = 592.97/x
  3. Step 3: Cross multiply
    617.90x = 928.04 × 592.97
  4. Step 4: Simplify right side
    617.90x = 550,292.27
  5. Step 5: Solve for x
    x = 550,292.27/617.90
  6. Step 6: Final answer
    x = 890.59

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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.