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Finding the Fourth Proportional to 919.46, 1,377.77 and 702.38

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Solution

The fourth proportional to 919.46, 1,377.77 and 702.38 is: 1,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.46 : 1,377.77 = 702.38 : x
  2. Step 2: Convert to fraction form
    919.46/1,377.77 = 702.38/x
  3. Step 3: Cross multiply
    919.46x = 1,377.77 × 702.38
  4. Step 4: Simplify right side
    919.46x = 967,707.69
  5. Step 5: Solve for x
    x = 967,707.69/919.46
  6. Step 6: Final answer
    x = 1,052.48

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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.