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Finding the Fourth Proportional to 522.99, 722.12 and 367.47

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Solution

The fourth proportional to 522.99, 722.12 and 367.47 is: 507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.99 : 722.12 = 367.47 : x
  2. Step 2: Convert to fraction form
    522.99/722.12 = 367.47/x
  3. Step 3: Cross multiply
    522.99x = 722.12 × 367.47
  4. Step 4: Simplify right side
    522.99x = 265,355.60
  5. Step 5: Solve for x
    x = 265,355.60/522.99
  6. Step 6: Final answer
    x = 507.38

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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.