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Finding the Fourth Proportional to 953.50, 1,317.03 and 731.96

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Solution

The fourth proportional to 953.50, 1,317.03 and 731.96 is: 1,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.50 : 1,317.03 = 731.96 : x
  2. Step 2: Convert to fraction form
    953.50/1,317.03 = 731.96/x
  3. Step 3: Cross multiply
    953.50x = 1,317.03 × 731.96
  4. Step 4: Simplify right side
    953.50x = 964,013.28
  5. Step 5: Solve for x
    x = 964,013.28/953.50
  6. Step 6: Final answer
    x = 1,011.03

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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.