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Finding the Fourth Proportional to 522.64, 720.93 and 348.22

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Solution

The fourth proportional to 522.64, 720.93 and 348.22 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 720.93 = 348.22 : x
  2. Step 2: Convert to fraction form
    522.64/720.93 = 348.22/x
  3. Step 3: Cross multiply
    522.64x = 720.93 × 348.22
  4. Step 4: Simplify right side
    522.64x = 251,042.24
  5. Step 5: Solve for x
    x = 251,042.24/522.64
  6. Step 6: Final answer
    x = 480.33

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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.