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Finding the Fourth Proportional to 583.59, 806.40 and 434.82

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Solution

The fourth proportional to 583.59, 806.40 and 434.82 is: 600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.59 : 806.40 = 434.82 : x
  2. Step 2: Convert to fraction form
    583.59/806.40 = 434.82/x
  3. Step 3: Cross multiply
    583.59x = 806.40 × 434.82
  4. Step 4: Simplify right side
    583.59x = 350,638.85
  5. Step 5: Solve for x
    x = 350,638.85/583.59
  6. Step 6: Final answer
    x = 600.83

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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.