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Finding the Fourth Proportional to 1,280.59, 1,767.07 and 720.93

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Solution

The fourth proportional to 1,280.59, 1,767.07 and 720.93 is: 994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.59 : 1,767.07 = 720.93 : x
  2. Step 2: Convert to fraction form
    1,280.59/1,767.07 = 720.93/x
  3. Step 3: Cross multiply
    1,280.59x = 1,767.07 × 720.93
  4. Step 4: Simplify right side
    1,280.59x = 1,273,933.78
  5. Step 5: Solve for x
    x = 1,273,933.78/1,280.59
  6. Step 6: Final answer
    x = 994.80

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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.