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Finding the Fourth Proportional to 1,039.50, 1,434.67 and 666.90

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Solution

The fourth proportional to 1,039.50, 1,434.67 and 666.90 is: 920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.50 : 1,434.67 = 666.90 : x
  2. Step 2: Convert to fraction form
    1,039.50/1,434.67 = 666.90/x
  3. Step 3: Cross multiply
    1,039.50x = 1,434.67 × 666.90
  4. Step 4: Simplify right side
    1,039.50x = 956,778.09
  5. Step 5: Solve for x
    x = 956,778.09/1,039.50
  6. Step 6: Final answer
    x = 920.42

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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.