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Finding the Fourth Proportional to 522.60, 778.43 and 498.91

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Solution

The fourth proportional to 522.60, 778.43 and 498.91 is: 743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 778.43 = 498.91 : x
  2. Step 2: Convert to fraction form
    522.60/778.43 = 498.91/x
  3. Step 3: Cross multiply
    522.60x = 778.43 × 498.91
  4. Step 4: Simplify right side
    522.60x = 388,362.62
  5. Step 5: Solve for x
    x = 388,362.62/522.60
  6. Step 6: Final answer
    x = 743.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.