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Finding the Fourth Proportional to 560.72, 773.81 and 339.62

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Solution

The fourth proportional to 560.72, 773.81 and 339.62 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 773.81 = 339.62 : x
  2. Step 2: Convert to fraction form
    560.72/773.81 = 339.62/x
  3. Step 3: Cross multiply
    560.72x = 773.81 × 339.62
  4. Step 4: Simplify right side
    560.72x = 262,795.79
  5. Step 5: Solve for x
    x = 262,795.79/560.72
  6. Step 6: Final answer
    x = 468.68

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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.