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Finding the Fourth Proportional to 560.53, 773.00 and 336.43

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Solution

The fourth proportional to 560.53, 773.00 and 336.43 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.53 : 773.00 = 336.43 : x
  2. Step 2: Convert to fraction form
    560.53/773.00 = 336.43/x
  3. Step 3: Cross multiply
    560.53x = 773.00 × 336.43
  4. Step 4: Simplify right side
    560.53x = 260,061.88
  5. Step 5: Solve for x
    x = 260,061.88/560.53
  6. Step 6: Final answer
    x = 463.96

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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.