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Finding the Fourth Proportional to 667.13, 1,001.07 and 277.06

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Solution

The fourth proportional to 667.13, 1,001.07 and 277.06 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 1,001.07 = 277.06 : x
  2. Step 2: Convert to fraction form
    667.13/1,001.07 = 277.06/x
  3. Step 3: Cross multiply
    667.13x = 1,001.07 × 277.06
  4. Step 4: Simplify right side
    667.13x = 277,357.71
  5. Step 5: Solve for x
    x = 277,357.71/667.13
  6. Step 6: Final answer
    x = 415.75

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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.