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Finding the Fourth Proportional to 987.11, 1,361.94 and 567.44

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Solution

The fourth proportional to 987.11, 1,361.94 and 567.44 is: 782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.11 : 1,361.94 = 567.44 : x
  2. Step 2: Convert to fraction form
    987.11/1,361.94 = 567.44/x
  3. Step 3: Cross multiply
    987.11x = 1,361.94 × 567.44
  4. Step 4: Simplify right side
    987.11x = 772,819.23
  5. Step 5: Solve for x
    x = 772,819.23/987.11
  6. Step 6: Final answer
    x = 782.91

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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.