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Finding the Fourth Proportional to 616.51, 849.34 and 429.66

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Solution

The fourth proportional to 616.51, 849.34 and 429.66 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.51 : 849.34 = 429.66 : x
  2. Step 2: Convert to fraction form
    616.51/849.34 = 429.66/x
  3. Step 3: Cross multiply
    616.51x = 849.34 × 429.66
  4. Step 4: Simplify right side
    616.51x = 364,929.55
  5. Step 5: Solve for x
    x = 364,929.55/616.51
  6. Step 6: Final answer
    x = 591.93

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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.