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Finding the Fourth Proportional to 1,164.06, 1,608.15 and 1,065.78

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Solution

The fourth proportional to 1,164.06, 1,608.15 and 1,065.78 is: 1,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,608.15 = 1,065.78 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,608.15 = 1,065.78/x
  3. Step 3: Cross multiply
    1,164.06x = 1,608.15 × 1,065.78
  4. Step 4: Simplify right side
    1,164.06x = 1,713,934.11
  5. Step 5: Solve for x
    x = 1,713,934.11/1,164.06
  6. Step 6: Final answer
    x = 1,472.38

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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.