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Finding the Fourth Proportional to 845.28, 1,264.70 and 516.30

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Solution

The fourth proportional to 845.28, 1,264.70 and 516.30 is: 772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.28 : 1,264.70 = 516.30 : x
  2. Step 2: Convert to fraction form
    845.28/1,264.70 = 516.30/x
  3. Step 3: Cross multiply
    845.28x = 1,264.70 × 516.30
  4. Step 4: Simplify right side
    845.28x = 652,962.03
  5. Step 5: Solve for x
    x = 652,962.03/845.28
  6. Step 6: Final answer
    x = 772.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.