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Finding the Fourth Proportional to 1,663.18, 2,294.77 and 1,073

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Solution

The fourth proportional to 1,663.18, 2,294.77 and 1,073 is: 1,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.18 : 2,294.77 = 1,073 : x
  2. Step 2: Convert to fraction form
    1,663.18/2,294.77 = 1,073/x
  3. Step 3: Cross multiply
    1,663.18x = 2,294.77 × 1,073
  4. Step 4: Simplify right side
    1,663.18x = 2,462,288.21
  5. Step 5: Solve for x
    x = 2,462,288.21/1,663.18
  6. Step 6: Final answer
    x = 1,480.47

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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.