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Finding the Fourth Proportional to 963.34, 1,323.64 and 766.51

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Solution

The fourth proportional to 963.34, 1,323.64 and 766.51 is: 1,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.34 : 1,323.64 = 766.51 : x
  2. Step 2: Convert to fraction form
    963.34/1,323.64 = 766.51/x
  3. Step 3: Cross multiply
    963.34x = 1,323.64 × 766.51
  4. Step 4: Simplify right side
    963.34x = 1,014,583.30
  5. Step 5: Solve for x
    x = 1,014,583.30/963.34
  6. Step 6: Final answer
    x = 1,053.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.