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Finding the Fourth Proportional to 883.83, 1,325.27 and 421.72

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Solution

The fourth proportional to 883.83, 1,325.27 and 421.72 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.83 : 1,325.27 = 421.72 : x
  2. Step 2: Convert to fraction form
    883.83/1,325.27 = 421.72/x
  3. Step 3: Cross multiply
    883.83x = 1,325.27 × 421.72
  4. Step 4: Simplify right side
    883.83x = 558,890.61
  5. Step 5: Solve for x
    x = 558,890.61/883.83
  6. Step 6: Final answer
    x = 632.35

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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.