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Finding the Fourth Proportional to 861.49, 1,290.17 and 470.90

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Solution

The fourth proportional to 861.49, 1,290.17 and 470.90 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.49 : 1,290.17 = 470.90 : x
  2. Step 2: Convert to fraction form
    861.49/1,290.17 = 470.90/x
  3. Step 3: Cross multiply
    861.49x = 1,290.17 × 470.90
  4. Step 4: Simplify right side
    861.49x = 607,538.70
  5. Step 5: Solve for x
    x = 607,538.70/861.49
  6. Step 6: Final answer
    x = 705.22

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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.