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Finding the Fourth Proportional to 956.20, 1,431.79 and 770.12

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Solution

The fourth proportional to 956.20, 1,431.79 and 770.12 is: 1,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.20 : 1,431.79 = 770.12 : x
  2. Step 2: Convert to fraction form
    956.20/1,431.79 = 770.12/x
  3. Step 3: Cross multiply
    956.20x = 1,431.79 × 770.12
  4. Step 4: Simplify right side
    956.20x = 1,102,650.11
  5. Step 5: Solve for x
    x = 1,102,650.11/956.20
  6. Step 6: Final answer
    x = 1,153.16

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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.