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Finding the Fourth Proportional to 1,280.24, 1,765.80 and 901.52

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Solution

The fourth proportional to 1,280.24, 1,765.80 and 901.52 is: 1,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.24 : 1,765.80 = 901.52 : x
  2. Step 2: Convert to fraction form
    1,280.24/1,765.80 = 901.52/x
  3. Step 3: Cross multiply
    1,280.24x = 1,765.80 × 901.52
  4. Step 4: Simplify right side
    1,280.24x = 1,591,904.02
  5. Step 5: Solve for x
    x = 1,591,904.02/1,280.24
  6. Step 6: Final answer
    x = 1,243.44

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1.5x scale

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.