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Finding the Fourth Proportional to 922.31, 1,272.69 and 523.95

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Solution

The fourth proportional to 922.31, 1,272.69 and 523.95 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.31 : 1,272.69 = 523.95 : x
  2. Step 2: Convert to fraction form
    922.31/1,272.69 = 523.95/x
  3. Step 3: Cross multiply
    922.31x = 1,272.69 × 523.95
  4. Step 4: Simplify right side
    922.31x = 666,825.93
  5. Step 5: Solve for x
    x = 666,825.93/922.31
  6. Step 6: Final answer
    x = 723.00

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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.