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Finding the Fourth Proportional to 740.89, 1,022.55 and 442.15

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Solution

The fourth proportional to 740.89, 1,022.55 and 442.15 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.89 : 1,022.55 = 442.15 : x
  2. Step 2: Convert to fraction form
    740.89/1,022.55 = 442.15/x
  3. Step 3: Cross multiply
    740.89x = 1,022.55 × 442.15
  4. Step 4: Simplify right side
    740.89x = 452,120.48
  5. Step 5: Solve for x
    x = 452,120.48/740.89
  6. Step 6: Final answer
    x = 610.24

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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.