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Finding the Fourth Proportional to 981.49, 1,468.71 and 590.11

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Solution

The fourth proportional to 981.49, 1,468.71 and 590.11 is: 883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.49 : 1,468.71 = 590.11 : x
  2. Step 2: Convert to fraction form
    981.49/1,468.71 = 590.11/x
  3. Step 3: Cross multiply
    981.49x = 1,468.71 × 590.11
  4. Step 4: Simplify right side
    981.49x = 866,699.26
  5. Step 5: Solve for x
    x = 866,699.26/981.49
  6. Step 6: Final answer
    x = 883.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.