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Finding the Fourth Proportional to 1,115.61, 1,670.30 and 840.84

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Solution

The fourth proportional to 1,115.61, 1,670.30 and 840.84 is: 1,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.61 : 1,670.30 = 840.84 : x
  2. Step 2: Convert to fraction form
    1,115.61/1,670.30 = 840.84/x
  3. Step 3: Cross multiply
    1,115.61x = 1,670.30 × 840.84
  4. Step 4: Simplify right side
    1,115.61x = 1,404,450.85
  5. Step 5: Solve for x
    x = 1,404,450.85/1,115.61
  6. Step 6: Final answer
    x = 1,258.91

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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.