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Finding the Fourth Proportional to 696.76, 959.34 and 566.20

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Solution

The fourth proportional to 696.76, 959.34 and 566.20 is: 779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.76 : 959.34 = 566.20 : x
  2. Step 2: Convert to fraction form
    696.76/959.34 = 566.20/x
  3. Step 3: Cross multiply
    696.76x = 959.34 × 566.20
  4. Step 4: Simplify right side
    696.76x = 543,178.31
  5. Step 5: Solve for x
    x = 543,178.31/696.76
  6. Step 6: Final answer
    x = 779.58

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Double scale
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1.5x scale

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.