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Finding the Fourth Proportional to 771.38, 1,062.93 and 549.86

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Solution

The fourth proportional to 771.38, 1,062.93 and 549.86 is: 757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,062.93 = 549.86 : x
  2. Step 2: Convert to fraction form
    771.38/1,062.93 = 549.86/x
  3. Step 3: Cross multiply
    771.38x = 1,062.93 × 549.86
  4. Step 4: Simplify right side
    771.38x = 584,462.69
  5. Step 5: Solve for x
    x = 584,462.69/771.38
  6. Step 6: Final answer
    x = 757.68

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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.