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Finding the Fourth Proportional to 987.04, 1,361.37 and 703.54

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Solution

The fourth proportional to 987.04, 1,361.37 and 703.54 is: 970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.04 : 1,361.37 = 703.54 : x
  2. Step 2: Convert to fraction form
    987.04/1,361.37 = 703.54/x
  3. Step 3: Cross multiply
    987.04x = 1,361.37 × 703.54
  4. Step 4: Simplify right side
    987.04x = 957,778.25
  5. Step 5: Solve for x
    x = 957,778.25/987.04
  6. Step 6: Final answer
    x = 970.35

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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.