Home / 1,299.24-1,948.68-421.74

Finding the Fourth Proportional to 1,299.24, 1,948.68 and 421.74

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Solution

The fourth proportional to 1,299.24, 1,948.68 and 421.74 is: 632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.24 : 1,948.68 = 421.74 : x
  2. Step 2: Convert to fraction form
    1,299.24/1,948.68 = 421.74/x
  3. Step 3: Cross multiply
    1,299.24x = 1,948.68 × 421.74
  4. Step 4: Simplify right side
    1,299.24x = 821,836.30
  5. Step 5: Solve for x
    x = 821,836.30/1,299.24
  6. Step 6: Final answer
    x = 632.55

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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.