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Finding the Fourth Proportional to 762.52, 1,052.46 and 585.76

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Solution

The fourth proportional to 762.52, 1,052.46 and 585.76 is: 808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.52 : 1,052.46 = 585.76 : x
  2. Step 2: Convert to fraction form
    762.52/1,052.46 = 585.76/x
  3. Step 3: Cross multiply
    762.52x = 1,052.46 × 585.76
  4. Step 4: Simplify right side
    762.52x = 616,488.97
  5. Step 5: Solve for x
    x = 616,488.97/762.52
  6. Step 6: Final answer
    x = 808.49

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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.