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Finding the Fourth Proportional to 802.39, 1,107.32 and 470.83

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Solution

The fourth proportional to 802.39, 1,107.32 and 470.83 is: 649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.39 : 1,107.32 = 470.83 : x
  2. Step 2: Convert to fraction form
    802.39/1,107.32 = 470.83/x
  3. Step 3: Cross multiply
    802.39x = 1,107.32 × 470.83
  4. Step 4: Simplify right side
    802.39x = 521,359.48
  5. Step 5: Solve for x
    x = 521,359.48/802.39
  6. Step 6: Final answer
    x = 649.76

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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.