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Finding the Fourth Proportional to 740.80, 1,108.80 and 577.60

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Solution

The fourth proportional to 740.80, 1,108.80 and 577.60 is: 864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.80 : 1,108.80 = 577.60 : x
  2. Step 2: Convert to fraction form
    740.80/1,108.80 = 577.60/x
  3. Step 3: Cross multiply
    740.80x = 1,108.80 × 577.60
  4. Step 4: Simplify right side
    740.80x = 640,442.88
  5. Step 5: Solve for x
    x = 640,442.88/740.80
  6. Step 6: Final answer
    x = 864.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.