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Finding the Fourth Proportional to 981.84, 1,355.04 and 588.90

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Solution

The fourth proportional to 981.84, 1,355.04 and 588.90 is: 812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,355.04 = 588.90 : x
  2. Step 2: Convert to fraction form
    981.84/1,355.04 = 588.90/x
  3. Step 3: Cross multiply
    981.84x = 1,355.04 × 588.90
  4. Step 4: Simplify right side
    981.84x = 797,983.06
  5. Step 5: Solve for x
    x = 797,983.06/981.84
  6. Step 6: Final answer
    x = 812.74

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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.