Home / 1,478.13-2,217.62-438.15

Finding the Fourth Proportional to 1,478.13, 2,217.62 and 438.15

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Solution

The fourth proportional to 1,478.13, 2,217.62 and 438.15 is: 657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.13 : 2,217.62 = 438.15 : x
  2. Step 2: Convert to fraction form
    1,478.13/2,217.62 = 438.15/x
  3. Step 3: Cross multiply
    1,478.13x = 2,217.62 × 438.15
  4. Step 4: Simplify right side
    1,478.13x = 971,651.72
  5. Step 5: Solve for x
    x = 971,651.72/1,478.13
  6. Step 6: Final answer
    x = 657.35

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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.