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Finding the Fourth Proportional to 802.49, 1,107.39 and 470.90

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Solution

The fourth proportional to 802.49, 1,107.39 and 470.90 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.49 : 1,107.39 = 470.90 : x
  2. Step 2: Convert to fraction form
    802.49/1,107.39 = 470.90/x
  3. Step 3: Cross multiply
    802.49x = 1,107.39 × 470.90
  4. Step 4: Simplify right side
    802.49x = 521,464.41
  5. Step 5: Solve for x
    x = 521,464.41/802.49
  6. Step 6: Final answer
    x = 649.81

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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.