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Finding the Fourth Proportional to 740.83, 1,022.37 and 426.18

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Solution

The fourth proportional to 740.83, 1,022.37 and 426.18 is: 588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.83 : 1,022.37 = 426.18 : x
  2. Step 2: Convert to fraction form
    740.83/1,022.37 = 426.18/x
  3. Step 3: Cross multiply
    740.83x = 1,022.37 × 426.18
  4. Step 4: Simplify right side
    740.83x = 435,713.65
  5. Step 5: Solve for x
    x = 435,713.65/740.83
  6. Step 6: Final answer
    x = 588.14

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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.