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Finding the Fourth Proportional to 985.81, 1,478.39 and 327.53

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Solution

The fourth proportional to 985.81, 1,478.39 and 327.53 is: 491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.81 : 1,478.39 = 327.53 : x
  2. Step 2: Convert to fraction form
    985.81/1,478.39 = 327.53/x
  3. Step 3: Cross multiply
    985.81x = 1,478.39 × 327.53
  4. Step 4: Simplify right side
    985.81x = 484,217.08
  5. Step 5: Solve for x
    x = 484,217.08/985.81
  6. Step 6: Final answer
    x = 491.19

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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.