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Finding the Fourth Proportional to 956.86, 1,431.78 and 783.10

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Solution

The fourth proportional to 956.86, 1,431.78 and 783.10 is: 1,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.86 : 1,431.78 = 783.10 : x
  2. Step 2: Convert to fraction form
    956.86/1,431.78 = 783.10/x
  3. Step 3: Cross multiply
    956.86x = 1,431.78 × 783.10
  4. Step 4: Simplify right side
    956.86x = 1,121,226.92
  5. Step 5: Solve for x
    x = 1,121,226.92/956.86
  6. Step 6: Final answer
    x = 1,171.78

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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.