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Finding the Fourth Proportional to 616.53, 849.36 and 429.68

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Solution

The fourth proportional to 616.53, 849.36 and 429.68 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.53 : 849.36 = 429.68 : x
  2. Step 2: Convert to fraction form
    616.53/849.36 = 429.68/x
  3. Step 3: Cross multiply
    616.53x = 849.36 × 429.68
  4. Step 4: Simplify right side
    616.53x = 364,949.54
  5. Step 5: Solve for x
    x = 364,949.54/616.53
  6. Step 6: Final answer
    x = 591.94

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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.