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Finding the Fourth Proportional to 746.85, 1,118.25 and 421.77

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Solution

The fourth proportional to 746.85, 1,118.25 and 421.77 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.85 : 1,118.25 = 421.77 : x
  2. Step 2: Convert to fraction form
    746.85/1,118.25 = 421.77/x
  3. Step 3: Cross multiply
    746.85x = 1,118.25 × 421.77
  4. Step 4: Simplify right side
    746.85x = 471,644.30
  5. Step 5: Solve for x
    x = 471,644.30/746.85
  6. Step 6: Final answer
    x = 631.51

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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.