Home / 1,038.29-1,432.83-596.28

Finding the Fourth Proportional to 1,038.29, 1,432.83 and 596.28

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Solution

The fourth proportional to 1,038.29, 1,432.83 and 596.28 is: 822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.29 : 1,432.83 = 596.28 : x
  2. Step 2: Convert to fraction form
    1,038.29/1,432.83 = 596.28/x
  3. Step 3: Cross multiply
    1,038.29x = 1,432.83 × 596.28
  4. Step 4: Simplify right side
    1,038.29x = 854,367.87
  5. Step 5: Solve for x
    x = 854,367.87/1,038.29
  6. Step 6: Final answer
    x = 822.86

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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.