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Finding the Fourth Proportional to 649.49, 896.27 and 354.75

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Solution

The fourth proportional to 649.49, 896.27 and 354.75 is: 489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 896.27 = 354.75 : x
  2. Step 2: Convert to fraction form
    649.49/896.27 = 354.75/x
  3. Step 3: Cross multiply
    649.49x = 896.27 × 354.75
  4. Step 4: Simplify right side
    649.49x = 317,950.01
  5. Step 5: Solve for x
    x = 317,950.01/649.49
  6. Step 6: Final answer
    x = 489.54

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1.5x scale

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.