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Finding the Fourth Proportional to 739.49, 1,020.46 and 407.89

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Solution

The fourth proportional to 739.49, 1,020.46 and 407.89 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.49 : 1,020.46 = 407.89 : x
  2. Step 2: Convert to fraction form
    739.49/1,020.46 = 407.89/x
  3. Step 3: Cross multiply
    739.49x = 1,020.46 × 407.89
  4. Step 4: Simplify right side
    739.49x = 416,235.43
  5. Step 5: Solve for x
    x = 416,235.43/739.49
  6. Step 6: Final answer
    x = 562.87

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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.