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Finding the Fourth Proportional to 1,038, 1,432.62 and 596.19

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Solution

The fourth proportional to 1,038, 1,432.62 and 596.19 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038 : 1,432.62 = 596.19 : x
  2. Step 2: Convert to fraction form
    1,038/1,432.62 = 596.19/x
  3. Step 3: Cross multiply
    1,038x = 1,432.62 × 596.19
  4. Step 4: Simplify right side
    1,038x = 854,113.72
  5. Step 5: Solve for x
    x = 854,113.72/1,038
  6. Step 6: Final answer
    x = 822.85

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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.