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Finding the Fourth Proportional to 771.62, 1,064.58 and 472.73

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Solution

The fourth proportional to 771.62, 1,064.58 and 472.73 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.62 : 1,064.58 = 472.73 : x
  2. Step 2: Convert to fraction form
    771.62/1,064.58 = 472.73/x
  3. Step 3: Cross multiply
    771.62x = 1,064.58 × 472.73
  4. Step 4: Simplify right side
    771.62x = 503,253.58
  5. Step 5: Solve for x
    x = 503,253.58/771.62
  6. Step 6: Final answer
    x = 652.21

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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.