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Finding the Fourth Proportional to 643.07, 965.54 and 562.88

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Solution

The fourth proportional to 643.07, 965.54 and 562.88 is: 845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.07 : 965.54 = 562.88 : x
  2. Step 2: Convert to fraction form
    643.07/965.54 = 562.88/x
  3. Step 3: Cross multiply
    643.07x = 965.54 × 562.88
  4. Step 4: Simplify right side
    643.07x = 543,486.98
  5. Step 5: Solve for x
    x = 543,486.98/643.07
  6. Step 6: Final answer
    x = 845.14

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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.