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Finding the Fourth Proportional to 561.86, 849.16 and 552.28

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Solution

The fourth proportional to 561.86, 849.16 and 552.28 is: 834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.86 : 849.16 = 552.28 : x
  2. Step 2: Convert to fraction form
    561.86/849.16 = 552.28/x
  3. Step 3: Cross multiply
    561.86x = 849.16 × 552.28
  4. Step 4: Simplify right side
    561.86x = 468,974.08
  5. Step 5: Solve for x
    x = 468,974.08/561.86
  6. Step 6: Final answer
    x = 834.68

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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.