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Finding the Fourth Proportional to 583.43, 806.27 and 478.34

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Solution

The fourth proportional to 583.43, 806.27 and 478.34 is: 661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.43 : 806.27 = 478.34 : x
  2. Step 2: Convert to fraction form
    583.43/806.27 = 478.34/x
  3. Step 3: Cross multiply
    583.43x = 806.27 × 478.34
  4. Step 4: Simplify right side
    583.43x = 385,664.77
  5. Step 5: Solve for x
    x = 385,664.77/583.43
  6. Step 6: Final answer
    x = 661.04

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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.