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Finding the Fourth Proportional to 560.67, 773.80 and 339.69

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Solution

The fourth proportional to 560.67, 773.80 and 339.69 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.67 : 773.80 = 339.69 : x
  2. Step 2: Convert to fraction form
    560.67/773.80 = 339.69/x
  3. Step 3: Cross multiply
    560.67x = 773.80 × 339.69
  4. Step 4: Simplify right side
    560.67x = 262,856.09
  5. Step 5: Solve for x
    x = 262,856.09/560.67
  6. Step 6: Final answer
    x = 468.82

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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.