Home / 1,663.68-2,296.62-1,142.40

Finding the Fourth Proportional to 1,663.68, 2,296.62 and 1,142.40

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Solution

The fourth proportional to 1,663.68, 2,296.62 and 1,142.40 is: 1,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.68 : 2,296.62 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    1,663.68/2,296.62 = 1,142.40/x
  3. Step 3: Cross multiply
    1,663.68x = 2,296.62 × 1,142.40
  4. Step 4: Simplify right side
    1,663.68x = 2,623,658.69
  5. Step 5: Solve for x
    x = 2,623,658.69/1,663.68
  6. Step 6: Final answer
    x = 1,577.02

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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.