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Finding the Fourth Proportional to 522.68, 720.71 and 391.46

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Solution

The fourth proportional to 522.68, 720.71 and 391.46 is: 539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 720.71 = 391.46 : x
  2. Step 2: Convert to fraction form
    522.68/720.71 = 391.46/x
  3. Step 3: Cross multiply
    522.68x = 720.71 × 391.46
  4. Step 4: Simplify right side
    522.68x = 282,129.14
  5. Step 5: Solve for x
    x = 282,129.14/522.68
  6. Step 6: Final answer
    x = 539.77

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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.