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Finding the Fourth Proportional to 987.16, 1,361.60 and 800.66

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Solution

The fourth proportional to 987.16, 1,361.60 and 800.66 is: 1,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.16 : 1,361.60 = 800.66 : x
  2. Step 2: Convert to fraction form
    987.16/1,361.60 = 800.66/x
  3. Step 3: Cross multiply
    987.16x = 1,361.60 × 800.66
  4. Step 4: Simplify right side
    987.16x = 1,090,178.66
  5. Step 5: Solve for x
    x = 1,090,178.66/987.16
  6. Step 6: Final answer
    x = 1,104.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.