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Finding the Fourth Proportional to 1,074.40, 1,603.04 and 918.61

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Solution

The fourth proportional to 1,074.40, 1,603.04 and 918.61 is: 1,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.40 : 1,603.04 = 918.61 : x
  2. Step 2: Convert to fraction form
    1,074.40/1,603.04 = 918.61/x
  3. Step 3: Cross multiply
    1,074.40x = 1,603.04 × 918.61
  4. Step 4: Simplify right side
    1,074.40x = 1,472,568.57
  5. Step 5: Solve for x
    x = 1,472,568.57/1,074.40
  6. Step 6: Final answer
    x = 1,370.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.