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Finding the Fourth Proportional to 953.19, 1,431.11 and 491.30

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Solution

The fourth proportional to 953.19, 1,431.11 and 491.30 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.19 : 1,431.11 = 491.30 : x
  2. Step 2: Convert to fraction form
    953.19/1,431.11 = 491.30/x
  3. Step 3: Cross multiply
    953.19x = 1,431.11 × 491.30
  4. Step 4: Simplify right side
    953.19x = 703,104.34
  5. Step 5: Solve for x
    x = 703,104.34/953.19
  6. Step 6: Final answer
    x = 737.63

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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.