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Finding the Fourth Proportional to 746.24, 1,118.28 and 421.52

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Solution

The fourth proportional to 746.24, 1,118.28 and 421.52 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.24 : 1,118.28 = 421.52 : x
  2. Step 2: Convert to fraction form
    746.24/1,118.28 = 421.52/x
  3. Step 3: Cross multiply
    746.24x = 1,118.28 × 421.52
  4. Step 4: Simplify right side
    746.24x = 471,377.39
  5. Step 5: Solve for x
    x = 471,377.39/746.24
  6. Step 6: Final answer
    x = 631.67

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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.