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Finding the Fourth Proportional to 931.52, 1,285.50 and 582.14

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Solution

The fourth proportional to 931.52, 1,285.50 and 582.14 is: 803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.52 : 1,285.50 = 582.14 : x
  2. Step 2: Convert to fraction form
    931.52/1,285.50 = 582.14/x
  3. Step 3: Cross multiply
    931.52x = 1,285.50 × 582.14
  4. Step 4: Simplify right side
    931.52x = 748,340.97
  5. Step 5: Solve for x
    x = 748,340.97/931.52
  6. Step 6: Final answer
    x = 803.35

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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.