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Finding the Fourth Proportional to 740.75, 1,022.30 and 426.02

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Solution

The fourth proportional to 740.75, 1,022.30 and 426.02 is: 587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.75 : 1,022.30 = 426.02 : x
  2. Step 2: Convert to fraction form
    740.75/1,022.30 = 426.02/x
  3. Step 3: Cross multiply
    740.75x = 1,022.30 × 426.02
  4. Step 4: Simplify right side
    740.75x = 435,522.75
  5. Step 5: Solve for x
    x = 435,522.75/740.75
  6. Step 6: Final answer
    x = 587.95

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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.