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Finding the Fourth Proportional to 855.47, 1,282.85 and 393.12

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Solution

The fourth proportional to 855.47, 1,282.85 and 393.12 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.47 : 1,282.85 = 393.12 : x
  2. Step 2: Convert to fraction form
    855.47/1,282.85 = 393.12/x
  3. Step 3: Cross multiply
    855.47x = 1,282.85 × 393.12
  4. Step 4: Simplify right side
    855.47x = 504,313.50
  5. Step 5: Solve for x
    x = 504,313.50/855.47
  6. Step 6: Final answer
    x = 589.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.