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Finding the Fourth Proportional to 989.15, 1,483.60 and 258.78

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Solution

The fourth proportional to 989.15, 1,483.60 and 258.78 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.15 : 1,483.60 = 258.78 : x
  2. Step 2: Convert to fraction form
    989.15/1,483.60 = 258.78/x
  3. Step 3: Cross multiply
    989.15x = 1,483.60 × 258.78
  4. Step 4: Simplify right side
    989.15x = 383,926.01
  5. Step 5: Solve for x
    x = 383,926.01/989.15
  6. Step 6: Final answer
    x = 388.14

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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.