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Finding the Fourth Proportional to 880.12, 1,214.58 and 487.16

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Solution

The fourth proportional to 880.12, 1,214.58 and 487.16 is: 672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.12 : 1,214.58 = 487.16 : x
  2. Step 2: Convert to fraction form
    880.12/1,214.58 = 487.16/x
  3. Step 3: Cross multiply
    880.12x = 1,214.58 × 487.16
  4. Step 4: Simplify right side
    880.12x = 591,694.79
  5. Step 5: Solve for x
    x = 591,694.79/880.12
  6. Step 6: Final answer
    x = 672.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.