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Finding the Fourth Proportional to 560.20, 834.05 and 560.20

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Solution

The fourth proportional to 560.20, 834.05 and 560.20 is: 834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 834.05 = 560.20 : x
  2. Step 2: Convert to fraction form
    560.20/834.05 = 560.20/x
  3. Step 3: Cross multiply
    560.20x = 834.05 × 560.20
  4. Step 4: Simplify right side
    560.20x = 467,234.81
  5. Step 5: Solve for x
    x = 467,234.81/560.20
  6. Step 6: Final answer
    x = 834.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.