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Finding the Fourth Proportional to 649.20, 968.40 and 572.64

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Solution

The fourth proportional to 649.20, 968.40 and 572.64 is: 854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 968.40 = 572.64 : x
  2. Step 2: Convert to fraction form
    649.20/968.40 = 572.64/x
  3. Step 3: Cross multiply
    649.20x = 968.40 × 572.64
  4. Step 4: Simplify right side
    649.20x = 554,544.58
  5. Step 5: Solve for x
    x = 554,544.58/649.20
  6. Step 6: Final answer
    x = 854.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.