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Finding the Fourth Proportional to 886.76, 1,320.74 and 840.50

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Solution

The fourth proportional to 886.76, 1,320.74 and 840.50 is: 1,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.76 : 1,320.74 = 840.50 : x
  2. Step 2: Convert to fraction form
    886.76/1,320.74 = 840.50/x
  3. Step 3: Cross multiply
    886.76x = 1,320.74 × 840.50
  4. Step 4: Simplify right side
    886.76x = 1,110,081.97
  5. Step 5: Solve for x
    x = 1,110,081.97/886.76
  6. Step 6: Final answer
    x = 1,251.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.