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Finding the Fourth Proportional to 1,384.75, 2,077.71 and 654.85

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Solution

The fourth proportional to 1,384.75, 2,077.71 and 654.85 is: 982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.75 : 2,077.71 = 654.85 : x
  2. Step 2: Convert to fraction form
    1,384.75/2,077.71 = 654.85/x
  3. Step 3: Cross multiply
    1,384.75x = 2,077.71 × 654.85
  4. Step 4: Simplify right side
    1,384.75x = 1,360,588.39
  5. Step 5: Solve for x
    x = 1,360,588.39/1,384.75
  6. Step 6: Final answer
    x = 982.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.