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Finding the Fourth Proportional to 956.44, 1,434.65 and 263.11

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Solution

The fourth proportional to 956.44, 1,434.65 and 263.11 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.44 : 1,434.65 = 263.11 : x
  2. Step 2: Convert to fraction form
    956.44/1,434.65 = 263.11/x
  3. Step 3: Cross multiply
    956.44x = 1,434.65 × 263.11
  4. Step 4: Simplify right side
    956.44x = 377,467.83
  5. Step 5: Solve for x
    x = 377,467.83/956.44
  6. Step 6: Final answer
    x = 394.66

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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.