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Finding the Fourth Proportional to 616.86, 844.77 and 608.76

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Solution

The fourth proportional to 616.86, 844.77 and 608.76 is: 833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 844.77 = 608.76 : x
  2. Step 2: Convert to fraction form
    616.86/844.77 = 608.76/x
  3. Step 3: Cross multiply
    616.86x = 844.77 × 608.76
  4. Step 4: Simplify right side
    616.86x = 514,262.19
  5. Step 5: Solve for x
    x = 514,262.19/616.86
  6. Step 6: Final answer
    x = 833.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.