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Finding the Fourth Proportional to 987.37, 1,480.59 and 293.80

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Solution

The fourth proportional to 987.37, 1,480.59 and 293.80 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.37 : 1,480.59 = 293.80 : x
  2. Step 2: Convert to fraction form
    987.37/1,480.59 = 293.80/x
  3. Step 3: Cross multiply
    987.37x = 1,480.59 × 293.80
  4. Step 4: Simplify right side
    987.37x = 434,991.42
  5. Step 5: Solve for x
    x = 434,991.42/987.37
  6. Step 6: Final answer
    x = 440.55

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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.