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Finding the Fourth Proportional to 608.81, 913.61 and 284.20

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Solution

The fourth proportional to 608.81, 913.61 and 284.20 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.81 : 913.61 = 284.20 : x
  2. Step 2: Convert to fraction form
    608.81/913.61 = 284.20/x
  3. Step 3: Cross multiply
    608.81x = 913.61 × 284.20
  4. Step 4: Simplify right side
    608.81x = 259,646.39
  5. Step 5: Solve for x
    x = 259,646.39/608.81
  6. Step 6: Final answer
    x = 426.49

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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.