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Finding the Fourth Proportional to 583.50, 805.15 and 347.45

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Solution

The fourth proportional to 583.50, 805.15 and 347.45 is: 479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 805.15 = 347.45 : x
  2. Step 2: Convert to fraction form
    583.50/805.15 = 347.45/x
  3. Step 3: Cross multiply
    583.50x = 805.15 × 347.45
  4. Step 4: Simplify right side
    583.50x = 279,749.37
  5. Step 5: Solve for x
    x = 279,749.37/583.50
  6. Step 6: Final answer
    x = 479.43

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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.