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Finding the Fourth Proportional to 1,214.07, 1,817.46 and 824.46

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Solution

The fourth proportional to 1,214.07, 1,817.46 and 824.46 is: 1,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.07 : 1,817.46 = 824.46 : x
  2. Step 2: Convert to fraction form
    1,214.07/1,817.46 = 824.46/x
  3. Step 3: Cross multiply
    1,214.07x = 1,817.46 × 824.46
  4. Step 4: Simplify right side
    1,214.07x = 1,498,423.07
  5. Step 5: Solve for x
    x = 1,498,423.07/1,214.07
  6. Step 6: Final answer
    x = 1,234.21

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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.