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Finding the Fourth Proportional to 697.53, 1,050.36 and 516.20

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Solution

The fourth proportional to 697.53, 1,050.36 and 516.20 is: 777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 1,050.36 = 516.20 : x
  2. Step 2: Convert to fraction form
    697.53/1,050.36 = 516.20/x
  3. Step 3: Cross multiply
    697.53x = 1,050.36 × 516.20
  4. Step 4: Simplify right side
    697.53x = 542,190.58
  5. Step 5: Solve for x
    x = 542,190.58/697.53
  6. Step 6: Final answer
    x = 777.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.