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Finding the Fourth Proportional to 649.59, 896.33 and 616.76

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Solution

The fourth proportional to 649.59, 896.33 and 616.76 is: 851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 896.33 = 616.76 : x
  2. Step 2: Convert to fraction form
    649.59/896.33 = 616.76/x
  3. Step 3: Cross multiply
    649.59x = 896.33 × 616.76
  4. Step 4: Simplify right side
    649.59x = 552,820.49
  5. Step 5: Solve for x
    x = 552,820.49/649.59
  6. Step 6: Final answer
    x = 851.03

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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.