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Finding the Fourth Proportional to 739.85, 1,020.04 and 606.58

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Solution

The fourth proportional to 739.85, 1,020.04 and 606.58 is: 836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,020.04 = 606.58 : x
  2. Step 2: Convert to fraction form
    739.85/1,020.04 = 606.58/x
  3. Step 3: Cross multiply
    739.85x = 1,020.04 × 606.58
  4. Step 4: Simplify right side
    739.85x = 618,731.80
  5. Step 5: Solve for x
    x = 618,731.80/739.85
  6. Step 6: Final answer
    x = 836.30

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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.