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Finding the Fourth Proportional to 802.86, 1,107.56 and 471.08

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Solution

The fourth proportional to 802.86, 1,107.56 and 471.08 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,107.56 = 471.08 : x
  2. Step 2: Convert to fraction form
    802.86/1,107.56 = 471.08/x
  3. Step 3: Cross multiply
    802.86x = 1,107.56 × 471.08
  4. Step 4: Simplify right side
    802.86x = 521,749.36
  5. Step 5: Solve for x
    x = 521,749.36/802.86
  6. Step 6: Final answer
    x = 649.86

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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.