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Finding the Fourth Proportional to 802.91, 1,107.87 and 471.35

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Solution

The fourth proportional to 802.91, 1,107.87 and 471.35 is: 650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.91 : 1,107.87 = 471.35 : x
  2. Step 2: Convert to fraction form
    802.91/1,107.87 = 471.35/x
  3. Step 3: Cross multiply
    802.91x = 1,107.87 × 471.35
  4. Step 4: Simplify right side
    802.91x = 522,194.52
  5. Step 5: Solve for x
    x = 522,194.52/802.91
  6. Step 6: Final answer
    x = 650.38

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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.