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Finding the Fourth Proportional to 730.86, 1,097.11 and 457.11

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Solution

The fourth proportional to 730.86, 1,097.11 and 457.11 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,097.11 = 457.11 : x
  2. Step 2: Convert to fraction form
    730.86/1,097.11 = 457.11/x
  3. Step 3: Cross multiply
    730.86x = 1,097.11 × 457.11
  4. Step 4: Simplify right side
    730.86x = 501,500.52
  5. Step 5: Solve for x
    x = 501,500.52/730.86
  6. Step 6: Final answer
    x = 686.18

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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.