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Finding the Fourth Proportional to 1,120.25, 1,545.69 and 678.06

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Solution

The fourth proportional to 1,120.25, 1,545.69 and 678.06 is: 935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.25 : 1,545.69 = 678.06 : x
  2. Step 2: Convert to fraction form
    1,120.25/1,545.69 = 678.06/x
  3. Step 3: Cross multiply
    1,120.25x = 1,545.69 × 678.06
  4. Step 4: Simplify right side
    1,120.25x = 1,048,073.10
  5. Step 5: Solve for x
    x = 1,048,073.10/1,120.25
  6. Step 6: Final answer
    x = 935.57

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1.5x scale

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.