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Finding the Fourth Proportional to 845.72, 1,261.84 and 757.64

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Solution

The fourth proportional to 845.72, 1,261.84 and 757.64 is: 1,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.72 : 1,261.84 = 757.64 : x
  2. Step 2: Convert to fraction form
    845.72/1,261.84 = 757.64/x
  3. Step 3: Cross multiply
    845.72x = 1,261.84 × 757.64
  4. Step 4: Simplify right side
    845.72x = 956,020.46
  5. Step 5: Solve for x
    x = 956,020.46/845.72
  6. Step 6: Final answer
    x = 1,130.42

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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.