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Finding the Fourth Proportional to 1,299.12, 1,948.68 and 374.68

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Solution

The fourth proportional to 1,299.12, 1,948.68 and 374.68 is: 562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.12 : 1,948.68 = 374.68 : x
  2. Step 2: Convert to fraction form
    1,299.12/1,948.68 = 374.68/x
  3. Step 3: Cross multiply
    1,299.12x = 1,948.68 × 374.68
  4. Step 4: Simplify right side
    1,299.12x = 730,131.42
  5. Step 5: Solve for x
    x = 730,131.42/1,299.12
  6. Step 6: Final answer
    x = 562.02

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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.