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Finding the Fourth Proportional to 1,042.77, 1,439.31 and 623.41

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Solution

The fourth proportional to 1,042.77, 1,439.31 and 623.41 is: 860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.77 : 1,439.31 = 623.41 : x
  2. Step 2: Convert to fraction form
    1,042.77/1,439.31 = 623.41/x
  3. Step 3: Cross multiply
    1,042.77x = 1,439.31 × 623.41
  4. Step 4: Simplify right side
    1,042.77x = 897,276.65
  5. Step 5: Solve for x
    x = 897,276.65/1,042.77
  6. Step 6: Final answer
    x = 860.47

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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.