Home / 1,038.13-1,432.43-596.05

Finding the Fourth Proportional to 1,038.13, 1,432.43 and 596.05

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Solution

The fourth proportional to 1,038.13, 1,432.43 and 596.05 is: 822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.13 : 1,432.43 = 596.05 : x
  2. Step 2: Convert to fraction form
    1,038.13/1,432.43 = 596.05/x
  3. Step 3: Cross multiply
    1,038.13x = 1,432.43 × 596.05
  4. Step 4: Simplify right side
    1,038.13x = 853,795.58
  5. Step 5: Solve for x
    x = 853,795.58/1,038.13
  6. Step 6: Final answer
    x = 822.44

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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.