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Finding the Fourth Proportional to 943.23, 1,301 and 664.05

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Solution

The fourth proportional to 943.23, 1,301 and 664.05 is: 915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.23 : 1,301 = 664.05 : x
  2. Step 2: Convert to fraction form
    943.23/1,301 = 664.05/x
  3. Step 3: Cross multiply
    943.23x = 1,301 × 664.05
  4. Step 4: Simplify right side
    943.23x = 863,929.05
  5. Step 5: Solve for x
    x = 863,929.05/943.23
  6. Step 6: Final answer
    x = 915.93

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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.