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Finding the Fourth Proportional to 1,663.54, 2,296.14 and 1,139.46

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Solution

The fourth proportional to 1,663.54, 2,296.14 and 1,139.46 is: 1,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.54 : 2,296.14 = 1,139.46 : x
  2. Step 2: Convert to fraction form
    1,663.54/2,296.14 = 1,139.46/x
  3. Step 3: Cross multiply
    1,663.54x = 2,296.14 × 1,139.46
  4. Step 4: Simplify right side
    1,663.54x = 2,616,359.68
  5. Step 5: Solve for x
    x = 2,616,359.68/1,663.54
  6. Step 6: Final answer
    x = 1,572.77

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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.