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Finding the Fourth Proportional to 987.74, 1,355.63 and 880.40

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Solution

The fourth proportional to 987.74, 1,355.63 and 880.40 is: 1,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.74 : 1,355.63 = 880.40 : x
  2. Step 2: Convert to fraction form
    987.74/1,355.63 = 880.40/x
  3. Step 3: Cross multiply
    987.74x = 1,355.63 × 880.40
  4. Step 4: Simplify right side
    987.74x = 1,193,496.65
  5. Step 5: Solve for x
    x = 1,193,496.65/987.74
  6. Step 6: Final answer
    x = 1,208.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.