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Finding the Fourth Proportional to 522.52, 721.40 and 348.16

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Solution

The fourth proportional to 522.52, 721.40 and 348.16 is: 480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.52 : 721.40 = 348.16 : x
  2. Step 2: Convert to fraction form
    522.52/721.40 = 348.16/x
  3. Step 3: Cross multiply
    522.52x = 721.40 × 348.16
  4. Step 4: Simplify right side
    522.52x = 251,162.62
  5. Step 5: Solve for x
    x = 251,162.62/522.52
  6. Step 6: Final answer
    x = 480.68

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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.