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Finding the Fourth Proportional to 985.38, 1,359.81 and 587.04

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Solution

The fourth proportional to 985.38, 1,359.81 and 587.04 is: 810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.38 : 1,359.81 = 587.04 : x
  2. Step 2: Convert to fraction form
    985.38/1,359.81 = 587.04/x
  3. Step 3: Cross multiply
    985.38x = 1,359.81 × 587.04
  4. Step 4: Simplify right side
    985.38x = 798,262.86
  5. Step 5: Solve for x
    x = 798,262.86/985.38
  6. Step 6: Final answer
    x = 810.11

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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.