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Finding the Fourth Proportional to 614.56, 845.19 and 488.74

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Solution

The fourth proportional to 614.56, 845.19 and 488.74 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.56 : 845.19 = 488.74 : x
  2. Step 2: Convert to fraction form
    614.56/845.19 = 488.74/x
  3. Step 3: Cross multiply
    614.56x = 845.19 × 488.74
  4. Step 4: Simplify right side
    614.56x = 413,078.16
  5. Step 5: Solve for x
    x = 413,078.16/614.56
  6. Step 6: Final answer
    x = 672.15

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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.