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Finding the Fourth Proportional to 643.66, 960.27 and 590.80

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Solution

The fourth proportional to 643.66, 960.27 and 590.80 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.66 : 960.27 = 590.80 : x
  2. Step 2: Convert to fraction form
    643.66/960.27 = 590.80/x
  3. Step 3: Cross multiply
    643.66x = 960.27 × 590.80
  4. Step 4: Simplify right side
    643.66x = 567,327.52
  5. Step 5: Solve for x
    x = 567,327.52/643.66
  6. Step 6: Final answer
    x = 881.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.