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Finding the Fourth Proportional to 649.33, 972.68 and 527.02

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Solution

The fourth proportional to 649.33, 972.68 and 527.02 is: 789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 972.68 = 527.02 : x
  2. Step 2: Convert to fraction form
    649.33/972.68 = 527.02/x
  3. Step 3: Cross multiply
    649.33x = 972.68 × 527.02
  4. Step 4: Simplify right side
    649.33x = 512,616.75
  5. Step 5: Solve for x
    x = 512,616.75/649.33
  6. Step 6: Final answer
    x = 789.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.