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Finding the Fourth Proportional to 776.55, 1,071.20 and 461.72

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Solution

The fourth proportional to 776.55, 1,071.20 and 461.72 is: 636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.55 : 1,071.20 = 461.72 : x
  2. Step 2: Convert to fraction form
    776.55/1,071.20 = 461.72/x
  3. Step 3: Cross multiply
    776.55x = 1,071.20 × 461.72
  4. Step 4: Simplify right side
    776.55x = 494,586.80
  5. Step 5: Solve for x
    x = 494,586.80/776.55
  6. Step 6: Final answer
    x = 636.90

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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.