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Finding the Fourth Proportional to 733.68, 1,009.60 and 729.68

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Solution

The fourth proportional to 733.68, 1,009.60 and 729.68 is: 1,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,009.60 = 729.68 : x
  2. Step 2: Convert to fraction form
    733.68/1,009.60 = 729.68/x
  3. Step 3: Cross multiply
    733.68x = 1,009.60 × 729.68
  4. Step 4: Simplify right side
    733.68x = 736,684.93
  5. Step 5: Solve for x
    x = 736,684.93/733.68
  6. Step 6: Final answer
    x = 1,004.10

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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.