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Finding the Fourth Proportional to 926.46, 1,278.53 and 727.55

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Solution

The fourth proportional to 926.46, 1,278.53 and 727.55 is: 1,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.46 : 1,278.53 = 727.55 : x
  2. Step 2: Convert to fraction form
    926.46/1,278.53 = 727.55/x
  3. Step 3: Cross multiply
    926.46x = 1,278.53 × 727.55
  4. Step 4: Simplify right side
    926.46x = 930,184.47
  5. Step 5: Solve for x
    x = 930,184.47/926.46
  6. Step 6: Final answer
    x = 1,004.02

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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.