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Finding the Fourth Proportional to 739.40, 1,019.79 and 473.90

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Solution

The fourth proportional to 739.40, 1,019.79 and 473.90 is: 653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 1,019.79 = 473.90 : x
  2. Step 2: Convert to fraction form
    739.40/1,019.79 = 473.90/x
  3. Step 3: Cross multiply
    739.40x = 1,019.79 × 473.90
  4. Step 4: Simplify right side
    739.40x = 483,273.38
  5. Step 5: Solve for x
    x = 483,273.38/739.40
  6. Step 6: Final answer
    x = 653.61

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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.