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Finding the Fourth Proportional to 956.14, 1,431.51 and 608.61

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Solution

The fourth proportional to 956.14, 1,431.51 and 608.61 is: 911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,431.51 = 608.61 : x
  2. Step 2: Convert to fraction form
    956.14/1,431.51 = 608.61/x
  3. Step 3: Cross multiply
    956.14x = 1,431.51 × 608.61
  4. Step 4: Simplify right side
    956.14x = 871,231.30
  5. Step 5: Solve for x
    x = 871,231.30/956.14
  6. Step 6: Final answer
    x = 911.20

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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.