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Finding the Fourth Proportional to 985.65, 1,359.39 and 592.29

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Solution

The fourth proportional to 985.65, 1,359.39 and 592.29 is: 816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.65 : 1,359.39 = 592.29 : x
  2. Step 2: Convert to fraction form
    985.65/1,359.39 = 592.29/x
  3. Step 3: Cross multiply
    985.65x = 1,359.39 × 592.29
  4. Step 4: Simplify right side
    985.65x = 805,153.10
  5. Step 5: Solve for x
    x = 805,153.10/985.65
  6. Step 6: Final answer
    x = 816.88

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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.