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Finding the Fourth Proportional to 1,432.77, 1,977.33 and 873.19

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Solution

The fourth proportional to 1,432.77, 1,977.33 and 873.19 is: 1,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.77 : 1,977.33 = 873.19 : x
  2. Step 2: Convert to fraction form
    1,432.77/1,977.33 = 873.19/x
  3. Step 3: Cross multiply
    1,432.77x = 1,977.33 × 873.19
  4. Step 4: Simplify right side
    1,432.77x = 1,726,584.78
  5. Step 5: Solve for x
    x = 1,726,584.78/1,432.77
  6. Step 6: Final answer
    x = 1,205.07

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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.