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Finding the Fourth Proportional to 1,120.36, 1,545.84 and 678.28

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Solution

The fourth proportional to 1,120.36, 1,545.84 and 678.28 is: 935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.36 : 1,545.84 = 678.28 : x
  2. Step 2: Convert to fraction form
    1,120.36/1,545.84 = 678.28/x
  3. Step 3: Cross multiply
    1,120.36x = 1,545.84 × 678.28
  4. Step 4: Simplify right side
    1,120.36x = 1,048,512.36
  5. Step 5: Solve for x
    x = 1,048,512.36/1,120.36
  6. Step 6: Final answer
    x = 935.87

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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.