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Finding the Fourth Proportional to 956.10, 1,318.93 and 824.88

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Solution

The fourth proportional to 956.10, 1,318.93 and 824.88 is: 1,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.10 : 1,318.93 = 824.88 : x
  2. Step 2: Convert to fraction form
    956.10/1,318.93 = 824.88/x
  3. Step 3: Cross multiply
    956.10x = 1,318.93 × 824.88
  4. Step 4: Simplify right side
    956.10x = 1,087,958.98
  5. Step 5: Solve for x
    x = 1,087,958.98/956.10
  6. Step 6: Final answer
    x = 1,137.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.