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Finding the Fourth Proportional to 549.49, 757.99 and 475.10

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Solution

The fourth proportional to 549.49, 757.99 and 475.10 is: 655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.49 : 757.99 = 475.10 : x
  2. Step 2: Convert to fraction form
    549.49/757.99 = 475.10/x
  3. Step 3: Cross multiply
    549.49x = 757.99 × 475.10
  4. Step 4: Simplify right side
    549.49x = 360,117.26
  5. Step 5: Solve for x
    x = 360,117.26/549.49
  6. Step 6: Final answer
    x = 655.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.