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Finding the Fourth Proportional to 1,478.32, 2,215.74 and 654.88

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Solution

The fourth proportional to 1,478.32, 2,215.74 and 654.88 is: 981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.32 : 2,215.74 = 654.88 : x
  2. Step 2: Convert to fraction form
    1,478.32/2,215.74 = 654.88/x
  3. Step 3: Cross multiply
    1,478.32x = 2,215.74 × 654.88
  4. Step 4: Simplify right side
    1,478.32x = 1,451,043.81
  5. Step 5: Solve for x
    x = 1,451,043.81/1,478.32
  6. Step 6: Final answer
    x = 981.55

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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.