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Finding the Fourth Proportional to 802.71, 1,200.98 and 456.21

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Solution

The fourth proportional to 802.71, 1,200.98 and 456.21 is: 682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.71 : 1,200.98 = 456.21 : x
  2. Step 2: Convert to fraction form
    802.71/1,200.98 = 456.21/x
  3. Step 3: Cross multiply
    802.71x = 1,200.98 × 456.21
  4. Step 4: Simplify right side
    802.71x = 547,896.80
  5. Step 5: Solve for x
    x = 547,896.80/802.71
  6. Step 6: Final answer
    x = 682.56

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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.