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Finding the Fourth Proportional to 841.60, 1,166.68 and 797.76

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Solution

The fourth proportional to 841.60, 1,166.68 and 797.76 is: 1,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.60 : 1,166.68 = 797.76 : x
  2. Step 2: Convert to fraction form
    841.60/1,166.68 = 797.76/x
  3. Step 3: Cross multiply
    841.60x = 1,166.68 × 797.76
  4. Step 4: Simplify right side
    841.60x = 930,730.64
  5. Step 5: Solve for x
    x = 930,730.64/841.60
  6. Step 6: Final answer
    x = 1,105.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.