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Finding the Fourth Proportional to 1,663.84, 2,296.05 and 917.83

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Solution

The fourth proportional to 1,663.84, 2,296.05 and 917.83 is: 1,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.84 : 2,296.05 = 917.83 : x
  2. Step 2: Convert to fraction form
    1,663.84/2,296.05 = 917.83/x
  3. Step 3: Cross multiply
    1,663.84x = 2,296.05 × 917.83
  4. Step 4: Simplify right side
    1,663.84x = 2,107,383.57
  5. Step 5: Solve for x
    x = 2,107,383.57/1,663.84
  6. Step 6: Final answer
    x = 1,266.58

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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.