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Finding the Fourth Proportional to 616.84, 926.17 and 605.90

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Solution

The fourth proportional to 616.84, 926.17 and 605.90 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 926.17 = 605.90 : x
  2. Step 2: Convert to fraction form
    616.84/926.17 = 605.90/x
  3. Step 3: Cross multiply
    616.84x = 926.17 × 605.90
  4. Step 4: Simplify right side
    616.84x = 561,167.20
  5. Step 5: Solve for x
    x = 561,167.20/616.84
  6. Step 6: Final answer
    x = 909.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.