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Finding the Fourth Proportional to 987.28, 1,476.60 and 805.84

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Solution

The fourth proportional to 987.28, 1,476.60 and 805.84 is: 1,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.28 : 1,476.60 = 805.84 : x
  2. Step 2: Convert to fraction form
    987.28/1,476.60 = 805.84/x
  3. Step 3: Cross multiply
    987.28x = 1,476.60 × 805.84
  4. Step 4: Simplify right side
    987.28x = 1,189,903.34
  5. Step 5: Solve for x
    x = 1,189,903.34/987.28
  6. Step 6: Final answer
    x = 1,205.23

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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.