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Finding the Fourth Proportional to 583.73, 805.64 and 443.62

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Solution

The fourth proportional to 583.73, 805.64 and 443.62 is: 612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.73 : 805.64 = 443.62 : x
  2. Step 2: Convert to fraction form
    583.73/805.64 = 443.62/x
  3. Step 3: Cross multiply
    583.73x = 805.64 × 443.62
  4. Step 4: Simplify right side
    583.73x = 357,398.02
  5. Step 5: Solve for x
    x = 357,398.02/583.73
  6. Step 6: Final answer
    x = 612.27

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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.