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Finding the Fourth Proportional to 981.90, 1,354.50 and 588.69

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Solution

The fourth proportional to 981.90, 1,354.50 and 588.69 is: 812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.90 : 1,354.50 = 588.69 : x
  2. Step 2: Convert to fraction form
    981.90/1,354.50 = 588.69/x
  3. Step 3: Cross multiply
    981.90x = 1,354.50 × 588.69
  4. Step 4: Simplify right side
    981.90x = 797,380.61
  5. Step 5: Solve for x
    x = 797,380.61/981.90
  6. Step 6: Final answer
    x = 812.08

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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.