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Finding the Fourth Proportional to 487.60, 672.84 and 291.16

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Solution

The fourth proportional to 487.60, 672.84 and 291.16 is: 401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.60 : 672.84 = 291.16 : x
  2. Step 2: Convert to fraction form
    487.60/672.84 = 291.16/x
  3. Step 3: Cross multiply
    487.60x = 672.84 × 291.16
  4. Step 4: Simplify right side
    487.60x = 195,904.09
  5. Step 5: Solve for x
    x = 195,904.09/487.60
  6. Step 6: Final answer
    x = 401.77

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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.