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Finding the Fourth Proportional to 671.09, 1,001.34 and 598.01

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Solution

The fourth proportional to 671.09, 1,001.34 and 598.01 is: 892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.09 : 1,001.34 = 598.01 : x
  2. Step 2: Convert to fraction form
    671.09/1,001.34 = 598.01/x
  3. Step 3: Cross multiply
    671.09x = 1,001.34 × 598.01
  4. Step 4: Simplify right side
    671.09x = 598,811.33
  5. Step 5: Solve for x
    x = 598,811.33/671.09
  6. Step 6: Final answer
    x = 892.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.