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Finding the Fourth Proportional to 522.14, 720.58 and 342.63

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Solution

The fourth proportional to 522.14, 720.58 and 342.63 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 720.58 = 342.63 : x
  2. Step 2: Convert to fraction form
    522.14/720.58 = 342.63/x
  3. Step 3: Cross multiply
    522.14x = 720.58 × 342.63
  4. Step 4: Simplify right side
    522.14x = 246,888.72
  5. Step 5: Solve for x
    x = 246,888.72/522.14
  6. Step 6: Final answer
    x = 472.84

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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.