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Finding the Fourth Proportional to 722.01, 1,080.29 and 429.67

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Solution

The fourth proportional to 722.01, 1,080.29 and 429.67 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.01 : 1,080.29 = 429.67 : x
  2. Step 2: Convert to fraction form
    722.01/1,080.29 = 429.67/x
  3. Step 3: Cross multiply
    722.01x = 1,080.29 × 429.67
  4. Step 4: Simplify right side
    722.01x = 464,168.20
  5. Step 5: Solve for x
    x = 464,168.20/722.01
  6. Step 6: Final answer
    x = 642.88

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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.