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Finding the Fourth Proportional to 645.69, 972.05 and 588.28

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Solution

The fourth proportional to 645.69, 972.05 and 588.28 is: 885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.69 : 972.05 = 588.28 : x
  2. Step 2: Convert to fraction form
    645.69/972.05 = 588.28/x
  3. Step 3: Cross multiply
    645.69x = 972.05 × 588.28
  4. Step 4: Simplify right side
    645.69x = 571,833.42
  5. Step 5: Solve for x
    x = 571,833.42/645.69
  6. Step 6: Final answer
    x = 885.62

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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.