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Finding the Fourth Proportional to 1,478.08, 2,217.45 and 645.28

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Solution

The fourth proportional to 1,478.08, 2,217.45 and 645.28 is: 968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,217.45 = 645.28 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,217.45 = 645.28/x
  3. Step 3: Cross multiply
    1,478.08x = 2,217.45 × 645.28
  4. Step 4: Simplify right side
    1,478.08x = 1,430,872.21
  5. Step 5: Solve for x
    x = 1,430,872.21/1,478.08
  6. Step 6: Final answer
    x = 968.06

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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.