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Finding the Fourth Proportional to 1,065.97, 1,470.92 and 623.85

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Solution

The fourth proportional to 1,065.97, 1,470.92 and 623.85 is: 860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.97 : 1,470.92 = 623.85 : x
  2. Step 2: Convert to fraction form
    1,065.97/1,470.92 = 623.85/x
  3. Step 3: Cross multiply
    1,065.97x = 1,470.92 × 623.85
  4. Step 4: Simplify right side
    1,065.97x = 917,633.44
  5. Step 5: Solve for x
    x = 917,633.44/1,065.97
  6. Step 6: Final answer
    x = 860.84

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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.