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Finding the Fourth Proportional to 637.20, 974.70 and 637.20

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Solution

The fourth proportional to 637.20, 974.70 and 637.20 is: 974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.20 : 974.70 = 637.20 : x
  2. Step 2: Convert to fraction form
    637.20/974.70 = 637.20/x
  3. Step 3: Cross multiply
    637.20x = 974.70 × 637.20
  4. Step 4: Simplify right side
    637.20x = 621,078.84
  5. Step 5: Solve for x
    x = 621,078.84/637.20
  6. Step 6: Final answer
    x = 974.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.