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Finding the Fourth Proportional to 720.34, 1,080.74 and 233.74

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Solution

The fourth proportional to 720.34, 1,080.74 and 233.74 is: 350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 1,080.74 = 233.74 : x
  2. Step 2: Convert to fraction form
    720.34/1,080.74 = 233.74/x
  3. Step 3: Cross multiply
    720.34x = 1,080.74 × 233.74
  4. Step 4: Simplify right side
    720.34x = 252,608.02
  5. Step 5: Solve for x
    x = 252,608.02/720.34
  6. Step 6: Final answer
    x = 350.68

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1.5x scale

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.