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Finding the Fourth Proportional to 560.86, 773.99 and 339.80

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Solution

The fourth proportional to 560.86, 773.99 and 339.80 is: 468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 773.99 = 339.80 : x
  2. Step 2: Convert to fraction form
    560.86/773.99 = 339.80/x
  3. Step 3: Cross multiply
    560.86x = 773.99 × 339.80
  4. Step 4: Simplify right side
    560.86x = 262,997.51
  5. Step 5: Solve for x
    x = 262,997.51/560.86
  6. Step 6: Final answer
    x = 468.92

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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.