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Finding the Fourth Proportional to 1,298.59, 1,948.52 and 682.79

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Solution

The fourth proportional to 1,298.59, 1,948.52 and 682.79 is: 1,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.59 : 1,948.52 = 682.79 : x
  2. Step 2: Convert to fraction form
    1,298.59/1,948.52 = 682.79/x
  3. Step 3: Cross multiply
    1,298.59x = 1,948.52 × 682.79
  4. Step 4: Simplify right side
    1,298.59x = 1,330,421.94
  5. Step 5: Solve for x
    x = 1,330,421.94/1,298.59
  6. Step 6: Final answer
    x = 1,024.51

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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.