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Finding the Fourth Proportional to 720.50, 994.30 and 440.78

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Solution

The fourth proportional to 720.50, 994.30 and 440.78 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.50 : 994.30 = 440.78 : x
  2. Step 2: Convert to fraction form
    720.50/994.30 = 440.78/x
  3. Step 3: Cross multiply
    720.50x = 994.30 × 440.78
  4. Step 4: Simplify right side
    720.50x = 438,267.55
  5. Step 5: Solve for x
    x = 438,267.55/720.50
  6. Step 6: Final answer
    x = 608.28

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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.