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Finding the Fourth Proportional to 1,020.62, 1,537.36 and 959.12

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Solution

The fourth proportional to 1,020.62, 1,537.36 and 959.12 is: 1,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.62 : 1,537.36 = 959.12 : x
  2. Step 2: Convert to fraction form
    1,020.62/1,537.36 = 959.12/x
  3. Step 3: Cross multiply
    1,020.62x = 1,537.36 × 959.12
  4. Step 4: Simplify right side
    1,020.62x = 1,474,512.72
  5. Step 5: Solve for x
    x = 1,474,512.72/1,020.62
  6. Step 6: Final answer
    x = 1,444.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.