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Finding the Fourth Proportional to 740.85, 1,022.70 and 442.20

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Solution

The fourth proportional to 740.85, 1,022.70 and 442.20 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.85 : 1,022.70 = 442.20 : x
  2. Step 2: Convert to fraction form
    740.85/1,022.70 = 442.20/x
  3. Step 3: Cross multiply
    740.85x = 1,022.70 × 442.20
  4. Step 4: Simplify right side
    740.85x = 452,239.31
  5. Step 5: Solve for x
    x = 452,239.31/740.85
  6. Step 6: Final answer
    x = 610.43

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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.