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Finding the Fourth Proportional to 561.66, 837.72 and 534.42

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Solution

The fourth proportional to 561.66, 837.72 and 534.42 is: 797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 837.72 = 534.42 : x
  2. Step 2: Convert to fraction form
    561.66/837.72 = 534.42/x
  3. Step 3: Cross multiply
    561.66x = 837.72 × 534.42
  4. Step 4: Simplify right side
    561.66x = 447,694.32
  5. Step 5: Solve for x
    x = 447,694.32/561.66
  6. Step 6: Final answer
    x = 797.09

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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.