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Finding the Fourth Proportional to 872.81, 1,204.47 and 474.47

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Solution

The fourth proportional to 872.81, 1,204.47 and 474.47 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.81 : 1,204.47 = 474.47 : x
  2. Step 2: Convert to fraction form
    872.81/1,204.47 = 474.47/x
  3. Step 3: Cross multiply
    872.81x = 1,204.47 × 474.47
  4. Step 4: Simplify right side
    872.81x = 571,487.41
  5. Step 5: Solve for x
    x = 571,487.41/872.81
  6. Step 6: Final answer
    x = 654.77

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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.