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Finding the Fourth Proportional to 549.40, 755 and 524.02

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Solution

The fourth proportional to 549.40, 755 and 524.02 is: 720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 755 = 524.02 : x
  2. Step 2: Convert to fraction form
    549.40/755 = 524.02/x
  3. Step 3: Cross multiply
    549.40x = 755 × 524.02
  4. Step 4: Simplify right side
    549.40x = 395,635.10
  5. Step 5: Solve for x
    x = 395,635.10/549.40
  6. Step 6: Final answer
    x = 720.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.