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Finding the Fourth Proportional to 746.32, 1,029.54 and 484.42

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Solution

The fourth proportional to 746.32, 1,029.54 and 484.42 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.32 : 1,029.54 = 484.42 : x
  2. Step 2: Convert to fraction form
    746.32/1,029.54 = 484.42/x
  3. Step 3: Cross multiply
    746.32x = 1,029.54 × 484.42
  4. Step 4: Simplify right side
    746.32x = 498,729.77
  5. Step 5: Solve for x
    x = 498,729.77/746.32
  6. Step 6: Final answer
    x = 668.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.