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Finding the Fourth Proportional to 560.62, 773.36 and 339.50

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Solution

The fourth proportional to 560.62, 773.36 and 339.50 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.62 : 773.36 = 339.50 : x
  2. Step 2: Convert to fraction form
    560.62/773.36 = 339.50/x
  3. Step 3: Cross multiply
    560.62x = 773.36 × 339.50
  4. Step 4: Simplify right side
    560.62x = 262,555.72
  5. Step 5: Solve for x
    x = 262,555.72/560.62
  6. Step 6: Final answer
    x = 468.33

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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.