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Finding the Fourth Proportional to 616.11, 918.95 and 534.30

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Solution

The fourth proportional to 616.11, 918.95 and 534.30 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.11 : 918.95 = 534.30 : x
  2. Step 2: Convert to fraction form
    616.11/918.95 = 534.30/x
  3. Step 3: Cross multiply
    616.11x = 918.95 × 534.30
  4. Step 4: Simplify right side
    616.11x = 490,988.87
  5. Step 5: Solve for x
    x = 490,988.87/616.11
  6. Step 6: Final answer
    x = 796.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.