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Finding the Fourth Proportional to 1,140.72, 1,572.96 and 931.74

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Solution

The fourth proportional to 1,140.72, 1,572.96 and 931.74 is: 1,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.72 : 1,572.96 = 931.74 : x
  2. Step 2: Convert to fraction form
    1,140.72/1,572.96 = 931.74/x
  3. Step 3: Cross multiply
    1,140.72x = 1,572.96 × 931.74
  4. Step 4: Simplify right side
    1,140.72x = 1,465,589.75
  5. Step 5: Solve for x
    x = 1,465,589.75/1,140.72
  6. Step 6: Final answer
    x = 1,284.79

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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.