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Finding the Fourth Proportional to 1,650.66, 2,277.90 and 987.54

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Solution

The fourth proportional to 1,650.66, 2,277.90 and 987.54 is: 1,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.66 : 2,277.90 = 987.54 : x
  2. Step 2: Convert to fraction form
    1,650.66/2,277.90 = 987.54/x
  3. Step 3: Cross multiply
    1,650.66x = 2,277.90 × 987.54
  4. Step 4: Simplify right side
    1,650.66x = 2,249,517.37
  5. Step 5: Solve for x
    x = 2,249,517.37/1,650.66
  6. Step 6: Final answer
    x = 1,362.80

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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.