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Finding the Fourth Proportional to 739.50, 1,020.45 and 407.91

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Solution

The fourth proportional to 739.50, 1,020.45 and 407.91 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.50 : 1,020.45 = 407.91 : x
  2. Step 2: Convert to fraction form
    739.50/1,020.45 = 407.91/x
  3. Step 3: Cross multiply
    739.50x = 1,020.45 × 407.91
  4. Step 4: Simplify right side
    739.50x = 416,251.76
  5. Step 5: Solve for x
    x = 416,251.76/739.50
  6. Step 6: Final answer
    x = 562.88

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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.