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Finding the Fourth Proportional to 750.43, 1,123.51 and 490.72

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Solution

The fourth proportional to 750.43, 1,123.51 and 490.72 is: 734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.43 : 1,123.51 = 490.72 : x
  2. Step 2: Convert to fraction form
    750.43/1,123.51 = 490.72/x
  3. Step 3: Cross multiply
    750.43x = 1,123.51 × 490.72
  4. Step 4: Simplify right side
    750.43x = 551,328.83
  5. Step 5: Solve for x
    x = 551,328.83/750.43
  6. Step 6: Final answer
    x = 734.68

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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.