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Finding the Fourth Proportional to 649.70, 974.72 and 341.46

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Solution

The fourth proportional to 649.70, 974.72 and 341.46 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.70 : 974.72 = 341.46 : x
  2. Step 2: Convert to fraction form
    649.70/974.72 = 341.46/x
  3. Step 3: Cross multiply
    649.70x = 974.72 × 341.46
  4. Step 4: Simplify right side
    649.70x = 332,826.18
  5. Step 5: Solve for x
    x = 332,826.18/649.70
  6. Step 6: Final answer
    x = 512.28

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1.5x scale

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.