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Finding the Fourth Proportional to 1,280.93, 1,766.63 and 904.07

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Solution

The fourth proportional to 1,280.93, 1,766.63 and 904.07 is: 1,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.93 : 1,766.63 = 904.07 : x
  2. Step 2: Convert to fraction form
    1,280.93/1,766.63 = 904.07/x
  3. Step 3: Cross multiply
    1,280.93x = 1,766.63 × 904.07
  4. Step 4: Simplify right side
    1,280.93x = 1,597,143.83
  5. Step 5: Solve for x
    x = 1,597,143.83/1,280.93
  6. Step 6: Final answer
    x = 1,246.87

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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.