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Finding the Fourth Proportional to 965.06, 1,447.82 and 417.61

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Solution

The fourth proportional to 965.06, 1,447.82 and 417.61 is: 626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.06 : 1,447.82 = 417.61 : x
  2. Step 2: Convert to fraction form
    965.06/1,447.82 = 417.61/x
  3. Step 3: Cross multiply
    965.06x = 1,447.82 × 417.61
  4. Step 4: Simplify right side
    965.06x = 604,619.60
  5. Step 5: Solve for x
    x = 604,619.60/965.06
  6. Step 6: Final answer
    x = 626.51

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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.