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Finding the Fourth Proportional to 574.24, 861.63 and 492.70

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Solution

The fourth proportional to 574.24, 861.63 and 492.70 is: 739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 861.63 = 492.70 : x
  2. Step 2: Convert to fraction form
    574.24/861.63 = 492.70/x
  3. Step 3: Cross multiply
    574.24x = 861.63 × 492.70
  4. Step 4: Simplify right side
    574.24x = 424,525.10
  5. Step 5: Solve for x
    x = 424,525.10/574.24
  6. Step 6: Final answer
    x = 739.28

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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.