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Finding the Fourth Proportional to 583.90, 805.53 and 362.95

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Solution

The fourth proportional to 583.90, 805.53 and 362.95 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 805.53 = 362.95 : x
  2. Step 2: Convert to fraction form
    583.90/805.53 = 362.95/x
  3. Step 3: Cross multiply
    583.90x = 805.53 × 362.95
  4. Step 4: Simplify right side
    583.90x = 292,367.11
  5. Step 5: Solve for x
    x = 292,367.11/583.90
  6. Step 6: Final answer
    x = 500.71

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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.