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Finding the Fourth Proportional to 944.72, 1,417.20 and 578.96

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Solution

The fourth proportional to 944.72, 1,417.20 and 578.96 is: 868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.72 : 1,417.20 = 578.96 : x
  2. Step 2: Convert to fraction form
    944.72/1,417.20 = 578.96/x
  3. Step 3: Cross multiply
    944.72x = 1,417.20 × 578.96
  4. Step 4: Simplify right side
    944.72x = 820,502.11
  5. Step 5: Solve for x
    x = 820,502.11/944.72
  6. Step 6: Final answer
    x = 868.51

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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.