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Finding the Fourth Proportional to 739.35, 1,020.29 and 407.77

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Solution

The fourth proportional to 739.35, 1,020.29 and 407.77 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,020.29 = 407.77 : x
  2. Step 2: Convert to fraction form
    739.35/1,020.29 = 407.77/x
  3. Step 3: Cross multiply
    739.35x = 1,020.29 × 407.77
  4. Step 4: Simplify right side
    739.35x = 416,039.06
  5. Step 5: Solve for x
    x = 416,039.06/739.35
  6. Step 6: Final answer
    x = 562.71

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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.