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Finding the Fourth Proportional to 583.72, 805.71 and 347.84

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Solution

The fourth proportional to 583.72, 805.71 and 347.84 is: 480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.72 : 805.71 = 347.84 : x
  2. Step 2: Convert to fraction form
    583.72/805.71 = 347.84/x
  3. Step 3: Cross multiply
    583.72x = 805.71 × 347.84
  4. Step 4: Simplify right side
    583.72x = 280,258.17
  5. Step 5: Solve for x
    x = 280,258.17/583.72
  6. Step 6: Final answer
    x = 480.12

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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.