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Finding the Fourth Proportional to 690.80, 952.56 and 549.08

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Solution

The fourth proportional to 690.80, 952.56 and 549.08 is: 757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.80 : 952.56 = 549.08 : x
  2. Step 2: Convert to fraction form
    690.80/952.56 = 549.08/x
  3. Step 3: Cross multiply
    690.80x = 952.56 × 549.08
  4. Step 4: Simplify right side
    690.80x = 523,031.64
  5. Step 5: Solve for x
    x = 523,031.64/690.80
  6. Step 6: Final answer
    x = 757.14

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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.