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Finding the Fourth Proportional to 1,040.77, 1,435.78 and 667.57

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Solution

The fourth proportional to 1,040.77, 1,435.78 and 667.57 is: 920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.77 : 1,435.78 = 667.57 : x
  2. Step 2: Convert to fraction form
    1,040.77/1,435.78 = 667.57/x
  3. Step 3: Cross multiply
    1,040.77x = 1,435.78 × 667.57
  4. Step 4: Simplify right side
    1,040.77x = 958,483.65
  5. Step 5: Solve for x
    x = 958,483.65/1,040.77
  6. Step 6: Final answer
    x = 920.94

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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.