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Finding the Fourth Proportional to 522.47, 778.94 and 515.99

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Solution

The fourth proportional to 522.47, 778.94 and 515.99 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.47 : 778.94 = 515.99 : x
  2. Step 2: Convert to fraction form
    522.47/778.94 = 515.99/x
  3. Step 3: Cross multiply
    522.47x = 778.94 × 515.99
  4. Step 4: Simplify right side
    522.47x = 401,925.25
  5. Step 5: Solve for x
    x = 401,925.25/522.47
  6. Step 6: Final answer
    x = 769.28

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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.