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Finding the Fourth Proportional to 583.70, 805.50 and 347.86

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Solution

The fourth proportional to 583.70, 805.50 and 347.86 is: 480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 805.50 = 347.86 : x
  2. Step 2: Convert to fraction form
    583.70/805.50 = 347.86/x
  3. Step 3: Cross multiply
    583.70x = 805.50 × 347.86
  4. Step 4: Simplify right side
    583.70x = 280,201.23
  5. Step 5: Solve for x
    x = 280,201.23/583.70
  6. Step 6: Final answer
    x = 480.04

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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.