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Finding the Fourth Proportional to 985.74, 1,359.93 and 592.71

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Solution

The fourth proportional to 985.74, 1,359.93 and 592.71 is: 817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.74 : 1,359.93 = 592.71 : x
  2. Step 2: Convert to fraction form
    985.74/1,359.93 = 592.71/x
  3. Step 3: Cross multiply
    985.74x = 1,359.93 × 592.71
  4. Step 4: Simplify right side
    985.74x = 806,044.11
  5. Step 5: Solve for x
    x = 806,044.11/985.74
  6. Step 6: Final answer
    x = 817.70

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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.