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Finding the Fourth Proportional to 549.32, 822.75 and 475.22

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Solution

The fourth proportional to 549.32, 822.75 and 475.22 is: 711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 822.75 = 475.22 : x
  2. Step 2: Convert to fraction form
    549.32/822.75 = 475.22/x
  3. Step 3: Cross multiply
    549.32x = 822.75 × 475.22
  4. Step 4: Simplify right side
    549.32x = 390,987.26
  5. Step 5: Solve for x
    x = 390,987.26/549.32
  6. Step 6: Final answer
    x = 711.77

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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.