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Finding the Fourth Proportional to 1,065.72, 1,470.29 and 667.22

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Solution

The fourth proportional to 1,065.72, 1,470.29 and 667.22 is: 920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.72 : 1,470.29 = 667.22 : x
  2. Step 2: Convert to fraction form
    1,065.72/1,470.29 = 667.22/x
  3. Step 3: Cross multiply
    1,065.72x = 1,470.29 × 667.22
  4. Step 4: Simplify right side
    1,065.72x = 980,996.21
  5. Step 5: Solve for x
    x = 980,996.21/1,065.72
  6. Step 6: Final answer
    x = 920.50

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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.