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Finding the Fourth Proportional to 947.01, 1,420.98 and 581.61

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Solution

The fourth proportional to 947.01, 1,420.98 and 581.61 is: 872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,420.98 = 581.61 : x
  2. Step 2: Convert to fraction form
    947.01/1,420.98 = 581.61/x
  3. Step 3: Cross multiply
    947.01x = 1,420.98 × 581.61
  4. Step 4: Simplify right side
    947.01x = 826,456.18
  5. Step 5: Solve for x
    x = 826,456.18/947.01
  6. Step 6: Final answer
    x = 872.70

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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.