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Finding the Fourth Proportional to 560.66, 839.39 and 445.27

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Solution

The fourth proportional to 560.66, 839.39 and 445.27 is: 666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.66 : 839.39 = 445.27 : x
  2. Step 2: Convert to fraction form
    560.66/839.39 = 445.27/x
  3. Step 3: Cross multiply
    560.66x = 839.39 × 445.27
  4. Step 4: Simplify right side
    560.66x = 373,754.94
  5. Step 5: Solve for x
    x = 373,754.94/560.66
  6. Step 6: Final answer
    x = 666.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.