Home / 1,432.19-2,148.29-782.57

Finding the Fourth Proportional to 1,432.19, 2,148.29 and 782.57

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Solution

The fourth proportional to 1,432.19, 2,148.29 and 782.57 is: 1,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.19 : 2,148.29 = 782.57 : x
  2. Step 2: Convert to fraction form
    1,432.19/2,148.29 = 782.57/x
  3. Step 3: Cross multiply
    1,432.19x = 2,148.29 × 782.57
  4. Step 4: Simplify right side
    1,432.19x = 1,681,187.31
  5. Step 5: Solve for x
    x = 1,681,187.31/1,432.19
  6. Step 6: Final answer
    x = 1,173.86

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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.