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Finding the Fourth Proportional to 965.19, 1,333.47 and 633.49

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Solution

The fourth proportional to 965.19, 1,333.47 and 633.49 is: 875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.19 : 1,333.47 = 633.49 : x
  2. Step 2: Convert to fraction form
    965.19/1,333.47 = 633.49/x
  3. Step 3: Cross multiply
    965.19x = 1,333.47 × 633.49
  4. Step 4: Simplify right side
    965.19x = 844,739.91
  5. Step 5: Solve for x
    x = 844,739.91/965.19
  6. Step 6: Final answer
    x = 875.21

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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.