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Finding the Fourth Proportional to 802.33, 1,107.08 and 452.95

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Solution

The fourth proportional to 802.33, 1,107.08 and 452.95 is: 624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.33 : 1,107.08 = 452.95 : x
  2. Step 2: Convert to fraction form
    802.33/1,107.08 = 452.95/x
  3. Step 3: Cross multiply
    802.33x = 1,107.08 × 452.95
  4. Step 4: Simplify right side
    802.33x = 501,449.62
  5. Step 5: Solve for x
    x = 501,449.62/802.33
  6. Step 6: Final answer
    x = 624.99

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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.