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Finding the Fourth Proportional to 1,162.36, 1,604.08 and 638.39

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Solution

The fourth proportional to 1,162.36, 1,604.08 and 638.39 is: 880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.36 : 1,604.08 = 638.39 : x
  2. Step 2: Convert to fraction form
    1,162.36/1,604.08 = 638.39/x
  3. Step 3: Cross multiply
    1,162.36x = 1,604.08 × 638.39
  4. Step 4: Simplify right side
    1,162.36x = 1,024,028.63
  5. Step 5: Solve for x
    x = 1,024,028.63/1,162.36
  6. Step 6: Final answer
    x = 880.99

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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.