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Finding the Fourth Proportional to 1,210.95, 1,814.58 and 552.44

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Solution

The fourth proportional to 1,210.95, 1,814.58 and 552.44 is: 827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.95 : 1,814.58 = 552.44 : x
  2. Step 2: Convert to fraction form
    1,210.95/1,814.58 = 552.44/x
  3. Step 3: Cross multiply
    1,210.95x = 1,814.58 × 552.44
  4. Step 4: Simplify right side
    1,210.95x = 1,002,451.11
  5. Step 5: Solve for x
    x = 1,002,451.11/1,210.95
  6. Step 6: Final answer
    x = 827.82

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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.