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Finding the Fourth Proportional to 549.63, 757.61 and 504.38

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Solution

The fourth proportional to 549.63, 757.61 and 504.38 is: 695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.63 : 757.61 = 504.38 : x
  2. Step 2: Convert to fraction form
    549.63/757.61 = 504.38/x
  3. Step 3: Cross multiply
    549.63x = 757.61 × 504.38
  4. Step 4: Simplify right side
    549.63x = 382,117.02
  5. Step 5: Solve for x
    x = 382,117.02/549.63
  6. Step 6: Final answer
    x = 695.23

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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.