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Finding the Fourth Proportional to 802.13, 1,107.05 and 470.56

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Solution

The fourth proportional to 802.13, 1,107.05 and 470.56 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.13 : 1,107.05 = 470.56 : x
  2. Step 2: Convert to fraction form
    802.13/1,107.05 = 470.56/x
  3. Step 3: Cross multiply
    802.13x = 1,107.05 × 470.56
  4. Step 4: Simplify right side
    802.13x = 520,928.33
  5. Step 5: Solve for x
    x = 520,928.33/802.13
  6. Step 6: Final answer
    x = 649.43

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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.