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Finding the Fourth Proportional to 779.66, 1,076.07 and 464.94

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Solution

The fourth proportional to 779.66, 1,076.07 and 464.94 is: 641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.66 : 1,076.07 = 464.94 : x
  2. Step 2: Convert to fraction form
    779.66/1,076.07 = 464.94/x
  3. Step 3: Cross multiply
    779.66x = 1,076.07 × 464.94
  4. Step 4: Simplify right side
    779.66x = 500,306.24
  5. Step 5: Solve for x
    x = 500,306.24/779.66
  6. Step 6: Final answer
    x = 641.70

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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.