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Finding the Fourth Proportional to 668.04, 999.28 and 522.24

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Solution

The fourth proportional to 668.04, 999.28 and 522.24 is: 781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.04 : 999.28 = 522.24 : x
  2. Step 2: Convert to fraction form
    668.04/999.28 = 522.24/x
  3. Step 3: Cross multiply
    668.04x = 999.28 × 522.24
  4. Step 4: Simplify right side
    668.04x = 521,863.99
  5. Step 5: Solve for x
    x = 521,863.99/668.04
  6. Step 6: Final answer
    x = 781.19

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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.