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Finding the Fourth Proportional to 671.91, 1,009.24 and 398.54

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Solution

The fourth proportional to 671.91, 1,009.24 and 398.54 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.91 : 1,009.24 = 398.54 : x
  2. Step 2: Convert to fraction form
    671.91/1,009.24 = 398.54/x
  3. Step 3: Cross multiply
    671.91x = 1,009.24 × 398.54
  4. Step 4: Simplify right side
    671.91x = 402,220.60
  5. Step 5: Solve for x
    x = 402,220.60/671.91
  6. Step 6: Final answer
    x = 598.62

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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.