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Finding the Fourth Proportional to 1,556.59, 2,334.42 and 516.37

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Solution

The fourth proportional to 1,556.59, 2,334.42 and 516.37 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.59 : 2,334.42 = 516.37 : x
  2. Step 2: Convert to fraction form
    1,556.59/2,334.42 = 516.37/x
  3. Step 3: Cross multiply
    1,556.59x = 2,334.42 × 516.37
  4. Step 4: Simplify right side
    1,556.59x = 1,205,424.46
  5. Step 5: Solve for x
    x = 1,205,424.46/1,556.59
  6. Step 6: Final answer
    x = 774.40

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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.