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Finding the Fourth Proportional to 1,298.56, 1,948.42 and 682.13

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Solution

The fourth proportional to 1,298.56, 1,948.42 and 682.13 is: 1,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.56 : 1,948.42 = 682.13 : x
  2. Step 2: Convert to fraction form
    1,298.56/1,948.42 = 682.13/x
  3. Step 3: Cross multiply
    1,298.56x = 1,948.42 × 682.13
  4. Step 4: Simplify right side
    1,298.56x = 1,329,062.58
  5. Step 5: Solve for x
    x = 1,329,062.58/1,298.56
  6. Step 6: Final answer
    x = 1,023.49

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1.5x scale

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.