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Finding the Fourth Proportional to 739.38, 1,020.21 and 424.64

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Solution

The fourth proportional to 739.38, 1,020.21 and 424.64 is: 585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.38 : 1,020.21 = 424.64 : x
  2. Step 2: Convert to fraction form
    739.38/1,020.21 = 424.64/x
  3. Step 3: Cross multiply
    739.38x = 1,020.21 × 424.64
  4. Step 4: Simplify right side
    739.38x = 433,222.93
  5. Step 5: Solve for x
    x = 433,222.93/739.38
  6. Step 6: Final answer
    x = 585.92

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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.