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Finding the Fourth Proportional to 720.23, 1,080.34 and 459.58

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Solution

The fourth proportional to 720.23, 1,080.34 and 459.58 is: 689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.23 : 1,080.34 = 459.58 : x
  2. Step 2: Convert to fraction form
    720.23/1,080.34 = 459.58/x
  3. Step 3: Cross multiply
    720.23x = 1,080.34 × 459.58
  4. Step 4: Simplify right side
    720.23x = 496,500.83
  5. Step 5: Solve for x
    x = 496,500.83/720.23
  6. Step 6: Final answer
    x = 689.37

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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.