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Finding the Fourth Proportional to 583.79, 806.30 and 386.96

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Solution

The fourth proportional to 583.79, 806.30 and 386.96 is: 534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.79 : 806.30 = 386.96 : x
  2. Step 2: Convert to fraction form
    583.79/806.30 = 386.96/x
  3. Step 3: Cross multiply
    583.79x = 806.30 × 386.96
  4. Step 4: Simplify right side
    583.79x = 312,002.78
  5. Step 5: Solve for x
    x = 312,002.78/583.79
  6. Step 6: Final answer
    x = 534.45

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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.