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Finding the Fourth Proportional to 560.97, 774.23 and 374.40

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Solution

The fourth proportional to 560.97, 774.23 and 374.40 is: 516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 774.23 = 374.40 : x
  2. Step 2: Convert to fraction form
    560.97/774.23 = 374.40/x
  3. Step 3: Cross multiply
    560.97x = 774.23 × 374.40
  4. Step 4: Simplify right side
    560.97x = 289,869.84
  5. Step 5: Solve for x
    x = 289,869.84/560.97
  6. Step 6: Final answer
    x = 516.73

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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.