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Finding the Fourth Proportional to 643.03, 886.92 and 590.74

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Solution

The fourth proportional to 643.03, 886.92 and 590.74 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.03 : 886.92 = 590.74 : x
  2. Step 2: Convert to fraction form
    643.03/886.92 = 590.74/x
  3. Step 3: Cross multiply
    643.03x = 886.92 × 590.74
  4. Step 4: Simplify right side
    643.03x = 523,939.12
  5. Step 5: Solve for x
    x = 523,939.12/643.03
  6. Step 6: Final answer
    x = 814.80

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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.