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Finding the Fourth Proportional to 696.08, 960.64 and 521.12

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Solution

The fourth proportional to 696.08, 960.64 and 521.12 is: 719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.08 : 960.64 = 521.12 : x
  2. Step 2: Convert to fraction form
    696.08/960.64 = 521.12/x
  3. Step 3: Cross multiply
    696.08x = 960.64 × 521.12
  4. Step 4: Simplify right side
    696.08x = 500,608.72
  5. Step 5: Solve for x
    x = 500,608.72/696.08
  6. Step 6: Final answer
    x = 719.18

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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.