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Finding the Fourth Proportional to 583.86, 805.42 and 347.74

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Solution

The fourth proportional to 583.86, 805.42 and 347.74 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 805.42 = 347.74 : x
  2. Step 2: Convert to fraction form
    583.86/805.42 = 347.74/x
  3. Step 3: Cross multiply
    583.86x = 805.42 × 347.74
  4. Step 4: Simplify right side
    583.86x = 280,076.75
  5. Step 5: Solve for x
    x = 280,076.75/583.86
  6. Step 6: Final answer
    x = 479.70

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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.