Home / 1,038.26-1,432.74-596.15

Finding the Fourth Proportional to 1,038.26, 1,432.74 and 596.15

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Solution

The fourth proportional to 1,038.26, 1,432.74 and 596.15 is: 822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.26 : 1,432.74 = 596.15 : x
  2. Step 2: Convert to fraction form
    1,038.26/1,432.74 = 596.15/x
  3. Step 3: Cross multiply
    1,038.26x = 1,432.74 × 596.15
  4. Step 4: Simplify right side
    1,038.26x = 854,120.79
  5. Step 5: Solve for x
    x = 854,120.79/1,038.26
  6. Step 6: Final answer
    x = 822.65

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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.