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Finding the Fourth Proportional to 989.55, 1,484.31 and 259.14

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Solution

The fourth proportional to 989.55, 1,484.31 and 259.14 is: 388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.55 : 1,484.31 = 259.14 : x
  2. Step 2: Convert to fraction form
    989.55/1,484.31 = 259.14/x
  3. Step 3: Cross multiply
    989.55x = 1,484.31 × 259.14
  4. Step 4: Simplify right side
    989.55x = 384,644.09
  5. Step 5: Solve for x
    x = 384,644.09/989.55
  6. Step 6: Final answer
    x = 388.71

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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.