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Finding the Fourth Proportional to 583.83, 805.86 and 398.25

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Solution

The fourth proportional to 583.83, 805.86 and 398.25 is: 549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.83 : 805.86 = 398.25 : x
  2. Step 2: Convert to fraction form
    583.83/805.86 = 398.25/x
  3. Step 3: Cross multiply
    583.83x = 805.86 × 398.25
  4. Step 4: Simplify right side
    583.83x = 320,933.75
  5. Step 5: Solve for x
    x = 320,933.75/583.83
  6. Step 6: Final answer
    x = 549.70

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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.