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Finding the Fourth Proportional to 1,084.01, 1,623.18 and 840.74

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Solution

The fourth proportional to 1,084.01, 1,623.18 and 840.74 is: 1,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.01 : 1,623.18 = 840.74 : x
  2. Step 2: Convert to fraction form
    1,084.01/1,623.18 = 840.74/x
  3. Step 3: Cross multiply
    1,084.01x = 1,623.18 × 840.74
  4. Step 4: Simplify right side
    1,084.01x = 1,364,676.41
  5. Step 5: Solve for x
    x = 1,364,676.41/1,084.01
  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.