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Finding the Fourth Proportional to 649.10, 971.64 and 549.56

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Solution

The fourth proportional to 649.10, 971.64 and 549.56 is: 822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 971.64 = 549.56 : x
  2. Step 2: Convert to fraction form
    649.10/971.64 = 549.56/x
  3. Step 3: Cross multiply
    649.10x = 971.64 × 549.56
  4. Step 4: Simplify right side
    649.10x = 533,974.48
  5. Step 5: Solve for x
    x = 533,974.48/649.10
  6. Step 6: Final answer
    x = 822.64

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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.