Home / 1,038.18-1,432.82-596.08

Finding the Fourth Proportional to 1,038.18, 1,432.82 and 596.08

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Solution

The fourth proportional to 1,038.18, 1,432.82 and 596.08 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.18 : 1,432.82 = 596.08 : x
  2. Step 2: Convert to fraction form
    1,038.18/1,432.82 = 596.08/x
  3. Step 3: Cross multiply
    1,038.18x = 1,432.82 × 596.08
  4. Step 4: Simplify right side
    1,038.18x = 854,070.57
  5. Step 5: Solve for x
    x = 854,070.57/1,038.18
  6. Step 6: Final answer
    x = 822.66

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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.