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Finding the Fourth Proportional to 1,162.07, 1,603.65 and 638.09

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Solution

The fourth proportional to 1,162.07, 1,603.65 and 638.09 is: 880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.07 : 1,603.65 = 638.09 : x
  2. Step 2: Convert to fraction form
    1,162.07/1,603.65 = 638.09/x
  3. Step 3: Cross multiply
    1,162.07x = 1,603.65 × 638.09
  4. Step 4: Simplify right side
    1,162.07x = 1,023,261.82
  5. Step 5: Solve for x
    x = 1,023,261.82/1,162.07
  6. Step 6: Final answer
    x = 880.55

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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.