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Finding the Fourth Proportional to 649.17, 895.85 and 354.43

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Solution

The fourth proportional to 649.17, 895.85 and 354.43 is: 489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 895.85 = 354.43 : x
  2. Step 2: Convert to fraction form
    649.17/895.85 = 354.43/x
  3. Step 3: Cross multiply
    649.17x = 895.85 × 354.43
  4. Step 4: Simplify right side
    649.17x = 317,516.12
  5. Step 5: Solve for x
    x = 317,516.12/649.17
  6. Step 6: Final answer
    x = 489.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.