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Finding the Fourth Proportional to 1,508.95, 2,082.25 and 836.79

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Solution

The fourth proportional to 1,508.95, 2,082.25 and 836.79 is: 1,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.95 : 2,082.25 = 836.79 : x
  2. Step 2: Convert to fraction form
    1,508.95/2,082.25 = 836.79/x
  3. Step 3: Cross multiply
    1,508.95x = 2,082.25 × 836.79
  4. Step 4: Simplify right side
    1,508.95x = 1,742,410.14
  5. Step 5: Solve for x
    x = 1,742,410.14/1,508.95
  6. Step 6: Final answer
    x = 1,154.71

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1.5x scale

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.