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Finding the Fourth Proportional to 645.80, 972.77 and 588.38

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Solution

The fourth proportional to 645.80, 972.77 and 588.38 is: 886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.80 : 972.77 = 588.38 : x
  2. Step 2: Convert to fraction form
    645.80/972.77 = 588.38/x
  3. Step 3: Cross multiply
    645.80x = 972.77 × 588.38
  4. Step 4: Simplify right side
    645.80x = 572,358.41
  5. Step 5: Solve for x
    x = 572,358.41/645.80
  6. Step 6: Final answer
    x = 886.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.