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Finding the Fourth Proportional to 643.01, 962.88 and 539.75

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Solution

The fourth proportional to 643.01, 962.88 and 539.75 is: 808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 962.88 = 539.75 : x
  2. Step 2: Convert to fraction form
    643.01/962.88 = 539.75/x
  3. Step 3: Cross multiply
    643.01x = 962.88 × 539.75
  4. Step 4: Simplify right side
    643.01x = 519,714.48
  5. Step 5: Solve for x
    x = 519,714.48/643.01
  6. Step 6: Final answer
    x = 808.25

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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.