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Finding the Fourth Proportional to 814.50, 1,222.04 and 522.14

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Solution

The fourth proportional to 814.50, 1,222.04 and 522.14 is: 783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.50 : 1,222.04 = 522.14 : x
  2. Step 2: Convert to fraction form
    814.50/1,222.04 = 522.14/x
  3. Step 3: Cross multiply
    814.50x = 1,222.04 × 522.14
  4. Step 4: Simplify right side
    814.50x = 638,075.97
  5. Step 5: Solve for x
    x = 638,075.97/814.50
  6. Step 6: Final answer
    x = 783.40

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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.