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Finding the Fourth Proportional to 953.66, 1,431.13 and 491.75

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Solution

The fourth proportional to 953.66, 1,431.13 and 491.75 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.66 : 1,431.13 = 491.75 : x
  2. Step 2: Convert to fraction form
    953.66/1,431.13 = 491.75/x
  3. Step 3: Cross multiply
    953.66x = 1,431.13 × 491.75
  4. Step 4: Simplify right side
    953.66x = 703,764.13
  5. Step 5: Solve for x
    x = 703,764.13/953.66
  6. Step 6: Final answer
    x = 737.96

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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.