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Finding the Fourth Proportional to 746.79, 1,030.32 and 484.86

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Solution

The fourth proportional to 746.79, 1,030.32 and 484.86 is: 668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.79 : 1,030.32 = 484.86 : x
  2. Step 2: Convert to fraction form
    746.79/1,030.32 = 484.86/x
  3. Step 3: Cross multiply
    746.79x = 1,030.32 × 484.86
  4. Step 4: Simplify right side
    746.79x = 499,560.96
  5. Step 5: Solve for x
    x = 499,560.96/746.79
  6. Step 6: Final answer
    x = 668.94

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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.