Home / 1,538.05-2,306.85-498.14

Finding the Fourth Proportional to 1,538.05, 2,306.85 and 498.14

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Solution

The fourth proportional to 1,538.05, 2,306.85 and 498.14 is: 747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.05 : 2,306.85 = 498.14 : x
  2. Step 2: Convert to fraction form
    1,538.05/2,306.85 = 498.14/x
  3. Step 3: Cross multiply
    1,538.05x = 2,306.85 × 498.14
  4. Step 4: Simplify right side
    1,538.05x = 1,149,138.16
  5. Step 5: Solve for x
    x = 1,149,138.16/1,538.05
  6. Step 6: Final answer
    x = 747.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.