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Finding the Fourth Proportional to 555.79, 766.70 and 516.21

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Solution

The fourth proportional to 555.79, 766.70 and 516.21 is: 712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.79 : 766.70 = 516.21 : x
  2. Step 2: Convert to fraction form
    555.79/766.70 = 516.21/x
  3. Step 3: Cross multiply
    555.79x = 766.70 × 516.21
  4. Step 4: Simplify right side
    555.79x = 395,774.69
  5. Step 5: Solve for x
    x = 395,774.69/555.79
  6. Step 6: Final answer
    x = 712.10

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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.