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Finding the Fourth Proportional to 649.28, 895.20 and 524.48

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Solution

The fourth proportional to 649.28, 895.20 and 524.48 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.28 : 895.20 = 524.48 : x
  2. Step 2: Convert to fraction form
    649.28/895.20 = 524.48/x
  3. Step 3: Cross multiply
    649.28x = 895.20 × 524.48
  4. Step 4: Simplify right side
    649.28x = 469,514.50
  5. Step 5: Solve for x
    x = 469,514.50/649.28
  6. Step 6: Final answer
    x = 723.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.