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Finding the Fourth Proportional to 583.34, 805.14 and 396.90

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Solution

The fourth proportional to 583.34, 805.14 and 396.90 is: 547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 805.14 = 396.90 : x
  2. Step 2: Convert to fraction form
    583.34/805.14 = 396.90/x
  3. Step 3: Cross multiply
    583.34x = 805.14 × 396.90
  4. Step 4: Simplify right side
    583.34x = 319,560.07
  5. Step 5: Solve for x
    x = 319,560.07/583.34
  6. Step 6: Final answer
    x = 547.82

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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.