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Finding the Fourth Proportional to 560.07, 773.04 and 323.97

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Solution

The fourth proportional to 560.07, 773.04 and 323.97 is: 447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.07 : 773.04 = 323.97 : x
  2. Step 2: Convert to fraction form
    560.07/773.04 = 323.97/x
  3. Step 3: Cross multiply
    560.07x = 773.04 × 323.97
  4. Step 4: Simplify right side
    560.07x = 250,441.77
  5. Step 5: Solve for x
    x = 250,441.77/560.07
  6. Step 6: Final answer
    x = 447.16

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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.