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Finding the Fourth Proportional to 1,650.70, 2,277.75 and 987.31

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Solution

The fourth proportional to 1,650.70, 2,277.75 and 987.31 is: 1,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.70 : 2,277.75 = 987.31 : x
  2. Step 2: Convert to fraction form
    1,650.70/2,277.75 = 987.31/x
  3. Step 3: Cross multiply
    1,650.70x = 2,277.75 × 987.31
  4. Step 4: Simplify right side
    1,650.70x = 2,248,845.35
  5. Step 5: Solve for x
    x = 2,248,845.35/1,650.70
  6. Step 6: Final answer
    x = 1,362.36

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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.