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Finding the Fourth Proportional to 637.24, 953.70 and 514.12

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Solution

The fourth proportional to 637.24, 953.70 and 514.12 is: 769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.24 : 953.70 = 514.12 : x
  2. Step 2: Convert to fraction form
    637.24/953.70 = 514.12/x
  3. Step 3: Cross multiply
    637.24x = 953.70 × 514.12
  4. Step 4: Simplify right side
    637.24x = 490,316.24
  5. Step 5: Solve for x
    x = 490,316.24/637.24
  6. Step 6: Final answer
    x = 769.44

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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.