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Finding the Fourth Proportional to 522.72, 722.28 and 375.84

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Solution

The fourth proportional to 522.72, 722.28 and 375.84 is: 519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 722.28 = 375.84 : x
  2. Step 2: Convert to fraction form
    522.72/722.28 = 375.84/x
  3. Step 3: Cross multiply
    522.72x = 722.28 × 375.84
  4. Step 4: Simplify right side
    522.72x = 271,461.72
  5. Step 5: Solve for x
    x = 271,461.72/522.72
  6. Step 6: Final answer
    x = 519.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.