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Finding the Fourth Proportional to 699.25, 964.97 and 388.75

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Solution

The fourth proportional to 699.25, 964.97 and 388.75 is: 536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.25 : 964.97 = 388.75 : x
  2. Step 2: Convert to fraction form
    699.25/964.97 = 388.75/x
  3. Step 3: Cross multiply
    699.25x = 964.97 × 388.75
  4. Step 4: Simplify right side
    699.25x = 375,130.14
  5. Step 5: Solve for x
    x = 375,130.14/699.25
  6. Step 6: Final answer
    x = 536.48

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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.