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Finding the Fourth Proportional to 1,298.83, 1,948.29 and 324.94

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Solution

The fourth proportional to 1,298.83, 1,948.29 and 324.94 is: 487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.83 : 1,948.29 = 324.94 : x
  2. Step 2: Convert to fraction form
    1,298.83/1,948.29 = 324.94/x
  3. Step 3: Cross multiply
    1,298.83x = 1,948.29 × 324.94
  4. Step 4: Simplify right side
    1,298.83x = 633,077.35
  5. Step 5: Solve for x
    x = 633,077.35/1,298.83
  6. Step 6: Final answer
    x = 487.42

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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.