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Finding the Fourth Proportional to 549.90, 821.66 and 463.50

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Solution

The fourth proportional to 549.90, 821.66 and 463.50 is: 692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 821.66 = 463.50 : x
  2. Step 2: Convert to fraction form
    549.90/821.66 = 463.50/x
  3. Step 3: Cross multiply
    549.90x = 821.66 × 463.50
  4. Step 4: Simplify right side
    549.90x = 380,839.41
  5. Step 5: Solve for x
    x = 380,839.41/549.90
  6. Step 6: Final answer
    x = 692.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.