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Finding the Fourth Proportional to 672.99, 1,003.88 and 661.84

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Solution

The fourth proportional to 672.99, 1,003.88 and 661.84 is: 987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.99 : 1,003.88 = 661.84 : x
  2. Step 2: Convert to fraction form
    672.99/1,003.88 = 661.84/x
  3. Step 3: Cross multiply
    672.99x = 1,003.88 × 661.84
  4. Step 4: Simplify right side
    672.99x = 664,407.94
  5. Step 5: Solve for x
    x = 664,407.94/672.99
  6. Step 6: Final answer
    x = 987.25

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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.