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Finding the Fourth Proportional to 549.72, 822.69 and 527.04

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Solution

The fourth proportional to 549.72, 822.69 and 527.04 is: 788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 822.69 = 527.04 : x
  2. Step 2: Convert to fraction form
    549.72/822.69 = 527.04/x
  3. Step 3: Cross multiply
    549.72x = 822.69 × 527.04
  4. Step 4: Simplify right side
    549.72x = 433,590.54
  5. Step 5: Solve for x
    x = 433,590.54/549.72
  6. Step 6: Final answer
    x = 788.75

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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.