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Finding the Fourth Proportional to 739.43, 1,020.25 and 428.75

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Solution

The fourth proportional to 739.43, 1,020.25 and 428.75 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.43 : 1,020.25 = 428.75 : x
  2. Step 2: Convert to fraction form
    739.43/1,020.25 = 428.75/x
  3. Step 3: Cross multiply
    739.43x = 1,020.25 × 428.75
  4. Step 4: Simplify right side
    739.43x = 437,432.19
  5. Step 5: Solve for x
    x = 437,432.19/739.43
  6. Step 6: Final answer
    x = 591.58

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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.