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Finding the Fourth Proportional to 720.59, 1,081.30 and 304.09

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Solution

The fourth proportional to 720.59, 1,081.30 and 304.09 is: 456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.59 : 1,081.30 = 304.09 : x
  2. Step 2: Convert to fraction form
    720.59/1,081.30 = 304.09/x
  3. Step 3: Cross multiply
    720.59x = 1,081.30 × 304.09
  4. Step 4: Simplify right side
    720.59x = 328,812.52
  5. Step 5: Solve for x
    x = 328,812.52/720.59
  6. Step 6: Final answer
    x = 456.31

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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.