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Finding the Fourth Proportional to 795.21, 1,097.34 and 480.45

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Solution

The fourth proportional to 795.21, 1,097.34 and 480.45 is: 662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.21 : 1,097.34 = 480.45 : x
  2. Step 2: Convert to fraction form
    795.21/1,097.34 = 480.45/x
  3. Step 3: Cross multiply
    795.21x = 1,097.34 × 480.45
  4. Step 4: Simplify right side
    795.21x = 527,217.00
  5. Step 5: Solve for x
    x = 527,217.00/795.21
  6. Step 6: Final answer
    x = 662.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.