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Finding the Fourth Proportional to 746.24, 1,119.48 and 420.92

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Solution

The fourth proportional to 746.24, 1,119.48 and 420.92 is: 631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.24 : 1,119.48 = 420.92 : x
  2. Step 2: Convert to fraction form
    746.24/1,119.48 = 420.92/x
  3. Step 3: Cross multiply
    746.24x = 1,119.48 × 420.92
  4. Step 4: Simplify right side
    746.24x = 471,211.52
  5. Step 5: Solve for x
    x = 471,211.52/746.24
  6. Step 6: Final answer
    x = 631.45

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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.