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Finding the Fourth Proportional to 701.46, 965.91 and 553.63

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Solution

The fourth proportional to 701.46, 965.91 and 553.63 is: 762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 965.91 = 553.63 : x
  2. Step 2: Convert to fraction form
    701.46/965.91 = 553.63/x
  3. Step 3: Cross multiply
    701.46x = 965.91 × 553.63
  4. Step 4: Simplify right side
    701.46x = 534,756.75
  5. Step 5: Solve for x
    x = 534,756.75/701.46
  6. Step 6: Final answer
    x = 762.35

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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.