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Finding the Fourth Proportional to 802.73, 1,107.50 and 471.23

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Solution

The fourth proportional to 802.73, 1,107.50 and 471.23 is: 650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.73 : 1,107.50 = 471.23 : x
  2. Step 2: Convert to fraction form
    802.73/1,107.50 = 471.23/x
  3. Step 3: Cross multiply
    802.73x = 1,107.50 × 471.23
  4. Step 4: Simplify right side
    802.73x = 521,890.29
  5. Step 5: Solve for x
    x = 521,890.29/802.73
  6. Step 6: Final answer
    x = 650.15

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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.