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Finding the Fourth Proportional to 746.78, 1,119.98 and 284.38

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Solution

The fourth proportional to 746.78, 1,119.98 and 284.38 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.78 : 1,119.98 = 284.38 : x
  2. Step 2: Convert to fraction form
    746.78/1,119.98 = 284.38/x
  3. Step 3: Cross multiply
    746.78x = 1,119.98 × 284.38
  4. Step 4: Simplify right side
    746.78x = 318,497.82
  5. Step 5: Solve for x
    x = 318,497.82/746.78
  6. Step 6: Final answer
    x = 426.50

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Half scale
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Double scale
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Similar ratio
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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.