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Finding the Fourth Proportional to 696.96, 959.68 and 549.12

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Solution

The fourth proportional to 696.96, 959.68 and 549.12 is: 756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 959.68 = 549.12 : x
  2. Step 2: Convert to fraction form
    696.96/959.68 = 549.12/x
  3. Step 3: Cross multiply
    696.96x = 959.68 × 549.12
  4. Step 4: Simplify right side
    696.96x = 526,979.48
  5. Step 5: Solve for x
    x = 526,979.48/696.96
  6. Step 6: Final answer
    x = 756.11

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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.