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Finding the Fourth Proportional to 965.31, 1,445.39 and 657.77

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Solution

The fourth proportional to 965.31, 1,445.39 and 657.77 is: 984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.31 : 1,445.39 = 657.77 : x
  2. Step 2: Convert to fraction form
    965.31/1,445.39 = 657.77/x
  3. Step 3: Cross multiply
    965.31x = 1,445.39 × 657.77
  4. Step 4: Simplify right side
    965.31x = 950,726.95
  5. Step 5: Solve for x
    x = 950,726.95/965.31
  6. Step 6: Final answer
    x = 984.89

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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.