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Finding the Fourth Proportional to 1,138.16, 1,705.80 and 488.18

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Solution

The fourth proportional to 1,138.16, 1,705.80 and 488.18 is: 731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.16 : 1,705.80 = 488.18 : x
  2. Step 2: Convert to fraction form
    1,138.16/1,705.80 = 488.18/x
  3. Step 3: Cross multiply
    1,138.16x = 1,705.80 × 488.18
  4. Step 4: Simplify right side
    1,138.16x = 832,737.44
  5. Step 5: Solve for x
    x = 832,737.44/1,138.16
  6. Step 6: Final answer
    x = 731.65

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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.