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Finding the Fourth Proportional to 583.54, 805.66 and 362.81

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Solution

The fourth proportional to 583.54, 805.66 and 362.81 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 805.66 = 362.81 : x
  2. Step 2: Convert to fraction form
    583.54/805.66 = 362.81/x
  3. Step 3: Cross multiply
    583.54x = 805.66 × 362.81
  4. Step 4: Simplify right side
    583.54x = 292,301.50
  5. Step 5: Solve for x
    x = 292,301.50/583.54
  6. Step 6: Final answer
    x = 500.91

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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.