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Finding the Fourth Proportional to 701.24, 967.78 and 390.76

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Solution

The fourth proportional to 701.24, 967.78 and 390.76 is: 539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.24 : 967.78 = 390.76 : x
  2. Step 2: Convert to fraction form
    701.24/967.78 = 390.76/x
  3. Step 3: Cross multiply
    701.24x = 967.78 × 390.76
  4. Step 4: Simplify right side
    701.24x = 378,169.71
  5. Step 5: Solve for x
    x = 378,169.71/701.24
  6. Step 6: Final answer
    x = 539.29

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Half scale
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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.