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Finding the Fourth Proportional to 739.77, 1,020.98 and 445.14

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Solution

The fourth proportional to 739.77, 1,020.98 and 445.14 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.77 : 1,020.98 = 445.14 : x
  2. Step 2: Convert to fraction form
    739.77/1,020.98 = 445.14/x
  3. Step 3: Cross multiply
    739.77x = 1,020.98 × 445.14
  4. Step 4: Simplify right side
    739.77x = 454,471.71
  5. Step 5: Solve for x
    x = 454,471.71/739.77
  6. Step 6: Final answer
    x = 614.34

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Double scale
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1.5x scale

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.