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Finding the Fourth Proportional to 883.46, 1,325.87 and 574.54

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Solution

The fourth proportional to 883.46, 1,325.87 and 574.54 is: 862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.46 : 1,325.87 = 574.54 : x
  2. Step 2: Convert to fraction form
    883.46/1,325.87 = 574.54/x
  3. Step 3: Cross multiply
    883.46x = 1,325.87 × 574.54
  4. Step 4: Simplify right side
    883.46x = 761,768.77
  5. Step 5: Solve for x
    x = 761,768.77/883.46
  6. Step 6: Final answer
    x = 862.26

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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.