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Finding the Fourth Proportional to 583.46, 805.56 and 362.72

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Solution

The fourth proportional to 583.46, 805.56 and 362.72 is: 500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 805.56 = 362.72 : x
  2. Step 2: Convert to fraction form
    583.46/805.56 = 362.72/x
  3. Step 3: Cross multiply
    583.46x = 805.56 × 362.72
  4. Step 4: Simplify right side
    583.46x = 292,192.72
  5. Step 5: Solve for x
    x = 292,192.72/583.46
  6. Step 6: Final answer
    x = 500.79

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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.