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Finding the Fourth Proportional to 501.59, 690.93 and 422.82

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Solution

The fourth proportional to 501.59, 690.93 and 422.82 is: 582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 690.93 = 422.82 : x
  2. Step 2: Convert to fraction form
    501.59/690.93 = 422.82/x
  3. Step 3: Cross multiply
    501.59x = 690.93 × 422.82
  4. Step 4: Simplify right side
    501.59x = 292,139.02
  5. Step 5: Solve for x
    x = 292,139.02/501.59
  6. Step 6: Final answer
    x = 582.42

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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.