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Finding the Fourth Proportional to 981.74, 1,355.19 and 588.69

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Solution

The fourth proportional to 981.74, 1,355.19 and 588.69 is: 812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.74 : 1,355.19 = 588.69 : x
  2. Step 2: Convert to fraction form
    981.74/1,355.19 = 588.69/x
  3. Step 3: Cross multiply
    981.74x = 1,355.19 × 588.69
  4. Step 4: Simplify right side
    981.74x = 797,786.80
  5. Step 5: Solve for x
    x = 797,786.80/981.74
  6. Step 6: Final answer
    x = 812.63

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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.