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Finding the Fourth Proportional to 1,478.16, 2,217.24 and 600.75

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Solution

The fourth proportional to 1,478.16, 2,217.24 and 600.75 is: 901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.16 : 2,217.24 = 600.75 : x
  2. Step 2: Convert to fraction form
    1,478.16/2,217.24 = 600.75/x
  3. Step 3: Cross multiply
    1,478.16x = 2,217.24 × 600.75
  4. Step 4: Simplify right side
    1,478.16x = 1,332,006.93
  5. Step 5: Solve for x
    x = 1,332,006.93/1,478.16
  6. Step 6: Final answer
    x = 901.13

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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.