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Finding the Fourth Proportional to 740.78, 1,022.49 and 442.23

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Solution

The fourth proportional to 740.78, 1,022.49 and 442.23 is: 610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.78 : 1,022.49 = 442.23 : x
  2. Step 2: Convert to fraction form
    740.78/1,022.49 = 442.23/x
  3. Step 3: Cross multiply
    740.78x = 1,022.49 × 442.23
  4. Step 4: Simplify right side
    740.78x = 452,175.75
  5. Step 5: Solve for x
    x = 452,175.75/740.78
  6. Step 6: Final answer
    x = 610.40

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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.