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Finding the Fourth Proportional to 1,432.01, 2,148.81 and 773.87

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Solution

The fourth proportional to 1,432.01, 2,148.81 and 773.87 is: 1,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.01 : 2,148.81 = 773.87 : x
  2. Step 2: Convert to fraction form
    1,432.01/2,148.81 = 773.87/x
  3. Step 3: Cross multiply
    1,432.01x = 2,148.81 × 773.87
  4. Step 4: Simplify right side
    1,432.01x = 1,662,899.59
  5. Step 5: Solve for x
    x = 1,662,899.59/1,432.01
  6. Step 6: Final answer
    x = 1,161.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.