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Finding the Fourth Proportional to 1,663.93, 2,296.17 and 917.89

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Solution

The fourth proportional to 1,663.93, 2,296.17 and 917.89 is: 1,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.93 : 2,296.17 = 917.89 : x
  2. Step 2: Convert to fraction form
    1,663.93/2,296.17 = 917.89/x
  3. Step 3: Cross multiply
    1,663.93x = 2,296.17 × 917.89
  4. Step 4: Simplify right side
    1,663.93x = 2,107,631.48
  5. Step 5: Solve for x
    x = 2,107,631.48/1,663.93
  6. Step 6: Final answer
    x = 1,266.66

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1.5x scale

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.