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Finding the Fourth Proportional to 739.84, 1,020.55 and 444.93

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Solution

The fourth proportional to 739.84, 1,020.55 and 444.93 is: 613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.84 : 1,020.55 = 444.93 : x
  2. Step 2: Convert to fraction form
    739.84/1,020.55 = 444.93/x
  3. Step 3: Cross multiply
    739.84x = 1,020.55 × 444.93
  4. Step 4: Simplify right side
    739.84x = 454,073.31
  5. Step 5: Solve for x
    x = 454,073.31/739.84
  6. Step 6: Final answer
    x = 613.75

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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.