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Finding the Fourth Proportional to 802.94, 1,107.86 and 471.40

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Solution

The fourth proportional to 802.94, 1,107.86 and 471.40 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,107.86 = 471.40 : x
  2. Step 2: Convert to fraction form
    802.94/1,107.86 = 471.40/x
  3. Step 3: Cross multiply
    802.94x = 1,107.86 × 471.40
  4. Step 4: Simplify right side
    802.94x = 522,245.20
  5. Step 5: Solve for x
    x = 522,245.20/802.94
  6. Step 6: Final answer
    x = 650.42

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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.