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Finding the Fourth Proportional to 883.25, 1,325.07 and 472.78

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Solution

The fourth proportional to 883.25, 1,325.07 and 472.78 is: 709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.25 : 1,325.07 = 472.78 : x
  2. Step 2: Convert to fraction form
    883.25/1,325.07 = 472.78/x
  3. Step 3: Cross multiply
    883.25x = 1,325.07 × 472.78
  4. Step 4: Simplify right side
    883.25x = 626,463.28
  5. Step 5: Solve for x
    x = 626,463.28/883.25
  6. Step 6: Final answer
    x = 709.27

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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.