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Finding the Fourth Proportional to 730.17, 1,095.72 and 421.83

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Solution

The fourth proportional to 730.17, 1,095.72 and 421.83 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.17 : 1,095.72 = 421.83 : x
  2. Step 2: Convert to fraction form
    730.17/1,095.72 = 421.83/x
  3. Step 3: Cross multiply
    730.17x = 1,095.72 × 421.83
  4. Step 4: Simplify right side
    730.17x = 462,207.57
  5. Step 5: Solve for x
    x = 462,207.57/730.17
  6. Step 6: Final answer
    x = 633.01

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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.