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Finding the Fourth Proportional to 583.85, 805.56 and 347.78

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Solution

The fourth proportional to 583.85, 805.56 and 347.78 is: 479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.85 : 805.56 = 347.78 : x
  2. Step 2: Convert to fraction form
    583.85/805.56 = 347.78/x
  3. Step 3: Cross multiply
    583.85x = 805.56 × 347.78
  4. Step 4: Simplify right side
    583.85x = 280,157.66
  5. Step 5: Solve for x
    x = 280,157.66/583.85
  6. Step 6: Final answer
    x = 479.85

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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.