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Finding the Fourth Proportional to 522.16, 779.44 and 467.48

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Solution

The fourth proportional to 522.16, 779.44 and 467.48 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 779.44 = 467.48 : x
  2. Step 2: Convert to fraction form
    522.16/779.44 = 467.48/x
  3. Step 3: Cross multiply
    522.16x = 779.44 × 467.48
  4. Step 4: Simplify right side
    522.16x = 364,372.61
  5. Step 5: Solve for x
    x = 364,372.61/522.16
  6. Step 6: Final answer
    x = 697.82

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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.