Home / 1,038.40-1,432.91-596.27

Finding the Fourth Proportional to 1,038.40, 1,432.91 and 596.27

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Solution

The fourth proportional to 1,038.40, 1,432.91 and 596.27 is: 822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.40 : 1,432.91 = 596.27 : x
  2. Step 2: Convert to fraction form
    1,038.40/1,432.91 = 596.27/x
  3. Step 3: Cross multiply
    1,038.40x = 1,432.91 × 596.27
  4. Step 4: Simplify right side
    1,038.40x = 854,406.32
  5. Step 5: Solve for x
    x = 854,406.32/1,038.40
  6. Step 6: Final answer
    x = 822.81

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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.