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Finding the Fourth Proportional to 880.39, 1,214.93 and 487.42

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Solution

The fourth proportional to 880.39, 1,214.93 and 487.42 is: 672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.39 : 1,214.93 = 487.42 : x
  2. Step 2: Convert to fraction form
    880.39/1,214.93 = 487.42/x
  3. Step 3: Cross multiply
    880.39x = 1,214.93 × 487.42
  4. Step 4: Simplify right side
    880.39x = 592,181.18
  5. Step 5: Solve for x
    x = 592,181.18/880.39
  6. Step 6: Final answer
    x = 672.64

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Double scale
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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.