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Finding the Fourth Proportional to 974.90, 1,345.09 and 560.90

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Solution

The fourth proportional to 974.90, 1,345.09 and 560.90 is: 773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,345.09 = 560.90 : x
  2. Step 2: Convert to fraction form
    974.90/1,345.09 = 560.90/x
  3. Step 3: Cross multiply
    974.90x = 1,345.09 × 560.90
  4. Step 4: Simplify right side
    974.90x = 754,460.98
  5. Step 5: Solve for x
    x = 754,460.98/974.90
  6. Step 6: Final answer
    x = 773.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.