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Finding the Fourth Proportional to 616.70, 849.66 and 429.86

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Solution

The fourth proportional to 616.70, 849.66 and 429.86 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.70 : 849.66 = 429.86 : x
  2. Step 2: Convert to fraction form
    616.70/849.66 = 429.86/x
  3. Step 3: Cross multiply
    616.70x = 849.66 × 429.86
  4. Step 4: Simplify right side
    616.70x = 365,230.60
  5. Step 5: Solve for x
    x = 365,230.60/616.70
  6. Step 6: Final answer
    x = 592.24

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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.