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Finding the Fourth Proportional to 642.45, 961.24 and 590.82

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Solution

The fourth proportional to 642.45, 961.24 and 590.82 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.45 : 961.24 = 590.82 : x
  2. Step 2: Convert to fraction form
    642.45/961.24 = 590.82/x
  3. Step 3: Cross multiply
    642.45x = 961.24 × 590.82
  4. Step 4: Simplify right side
    642.45x = 567,919.82
  5. Step 5: Solve for x
    x = 567,919.82/642.45
  6. Step 6: Final answer
    x = 883.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.