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Finding the Fourth Proportional to 560.45, 845.69 and 537.97

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Solution

The fourth proportional to 560.45, 845.69 and 537.97 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.45 : 845.69 = 537.97 : x
  2. Step 2: Convert to fraction form
    560.45/845.69 = 537.97/x
  3. Step 3: Cross multiply
    560.45x = 845.69 × 537.97
  4. Step 4: Simplify right side
    560.45x = 454,951.05
  5. Step 5: Solve for x
    x = 454,951.05/560.45
  6. Step 6: Final answer
    x = 811.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.