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Finding the Fourth Proportional to 614.56, 918.08 and 493.12

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Solution

The fourth proportional to 614.56, 918.08 and 493.12 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.56 : 918.08 = 493.12 : x
  2. Step 2: Convert to fraction form
    614.56/918.08 = 493.12/x
  3. Step 3: Cross multiply
    614.56x = 918.08 × 493.12
  4. Step 4: Simplify right side
    614.56x = 452,723.61
  5. Step 5: Solve for x
    x = 452,723.61/614.56
  6. Step 6: Final answer
    x = 736.66

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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.