Home / 1,478.29-2,217.12-438.01

Finding the Fourth Proportional to 1,478.29, 2,217.12 and 438.01

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Solution

The fourth proportional to 1,478.29, 2,217.12 and 438.01 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.29 : 2,217.12 = 438.01 : x
  2. Step 2: Convert to fraction form
    1,478.29/2,217.12 = 438.01/x
  3. Step 3: Cross multiply
    1,478.29x = 2,217.12 × 438.01
  4. Step 4: Simplify right side
    1,478.29x = 971,120.73
  5. Step 5: Solve for x
    x = 971,120.73/1,478.29
  6. Step 6: Final answer
    x = 656.92

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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.