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Finding the Fourth Proportional to 965.65, 1,446.63 and 921.91

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Solution

The fourth proportional to 965.65, 1,446.63 and 921.91 is: 1,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.65 : 1,446.63 = 921.91 : x
  2. Step 2: Convert to fraction form
    965.65/1,446.63 = 921.91/x
  3. Step 3: Cross multiply
    965.65x = 1,446.63 × 921.91
  4. Step 4: Simplify right side
    965.65x = 1,333,662.66
  5. Step 5: Solve for x
    x = 1,333,662.66/965.65
  6. Step 6: Final answer
    x = 1,381.10

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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.