Home / 1,478.25-2,217.12-438.24

Finding the Fourth Proportional to 1,478.25, 2,217.12 and 438.24

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Solution

The fourth proportional to 1,478.25, 2,217.12 and 438.24 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.25 : 2,217.12 = 438.24 : x
  2. Step 2: Convert to fraction form
    1,478.25/2,217.12 = 438.24/x
  3. Step 3: Cross multiply
    1,478.25x = 2,217.12 × 438.24
  4. Step 4: Simplify right side
    1,478.25x = 971,630.67
  5. Step 5: Solve for x
    x = 971,630.67/1,478.25
  6. Step 6: Final answer
    x = 657.28

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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.