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Finding the Fourth Proportional to 739.52, 1,020 and 623.36

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Solution

The fourth proportional to 739.52, 1,020 and 623.36 is: 859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.52 : 1,020 = 623.36 : x
  2. Step 2: Convert to fraction form
    739.52/1,020 = 623.36/x
  3. Step 3: Cross multiply
    739.52x = 1,020 × 623.36
  4. Step 4: Simplify right side
    739.52x = 635,827.20
  5. Step 5: Solve for x
    x = 635,827.20/739.52
  6. Step 6: Final answer
    x = 859.78

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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.