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Finding the Fourth Proportional to 1,438.16, 1,984.85 and 840.83

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Solution

The fourth proportional to 1,438.16, 1,984.85 and 840.83 is: 1,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.16 : 1,984.85 = 840.83 : x
  2. Step 2: Convert to fraction form
    1,438.16/1,984.85 = 840.83/x
  3. Step 3: Cross multiply
    1,438.16x = 1,984.85 × 840.83
  4. Step 4: Simplify right side
    1,438.16x = 1,668,910.45
  5. Step 5: Solve for x
    x = 1,668,910.45/1,438.16
  6. Step 6: Final answer
    x = 1,160.45

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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.