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Finding the Fourth Proportional to 549.98, 823.31 and 354.59

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Solution

The fourth proportional to 549.98, 823.31 and 354.59 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 823.31 = 354.59 : x
  2. Step 2: Convert to fraction form
    549.98/823.31 = 354.59/x
  3. Step 3: Cross multiply
    549.98x = 823.31 × 354.59
  4. Step 4: Simplify right side
    549.98x = 291,940.01
  5. Step 5: Solve for x
    x = 291,940.01/549.98
  6. Step 6: Final answer
    x = 530.82

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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.