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Finding the Fourth Proportional to 649.52, 884.34 and 647.46

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Solution

The fourth proportional to 649.52, 884.34 and 647.46 is: 881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 884.34 = 647.46 : x
  2. Step 2: Convert to fraction form
    649.52/884.34 = 647.46/x
  3. Step 3: Cross multiply
    649.52x = 884.34 × 647.46
  4. Step 4: Simplify right side
    649.52x = 572,574.78
  5. Step 5: Solve for x
    x = 572,574.78/649.52
  6. Step 6: Final answer
    x = 881.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.