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Finding the Fourth Proportional to 699.38, 965.14 and 396.55

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Solution

The fourth proportional to 699.38, 965.14 and 396.55 is: 547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 965.14 = 396.55 : x
  2. Step 2: Convert to fraction form
    699.38/965.14 = 396.55/x
  3. Step 3: Cross multiply
    699.38x = 965.14 × 396.55
  4. Step 4: Simplify right side
    699.38x = 382,728.71
  5. Step 5: Solve for x
    x = 382,728.71/699.38
  6. Step 6: Final answer
    x = 547.24

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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.