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Finding the Fourth Proportional to 989.68, 1,484.36 and 331.46

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Solution

The fourth proportional to 989.68, 1,484.36 and 331.46 is: 497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.68 : 1,484.36 = 331.46 : x
  2. Step 2: Convert to fraction form
    989.68/1,484.36 = 331.46/x
  3. Step 3: Cross multiply
    989.68x = 1,484.36 × 331.46
  4. Step 4: Simplify right side
    989.68x = 492,005.97
  5. Step 5: Solve for x
    x = 492,005.97/989.68
  6. Step 6: Final answer
    x = 497.14

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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.