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Finding the Fourth Proportional to 965.98, 1,447.08 and 477.55

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Solution

The fourth proportional to 965.98, 1,447.08 and 477.55 is: 715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,447.08 = 477.55 : x
  2. Step 2: Convert to fraction form
    965.98/1,447.08 = 477.55/x
  3. Step 3: Cross multiply
    965.98x = 1,447.08 × 477.55
  4. Step 4: Simplify right side
    965.98x = 691,053.05
  5. Step 5: Solve for x
    x = 691,053.05/965.98
  6. Step 6: Final answer
    x = 715.39

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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.