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Finding the Fourth Proportional to 875.30, 1,208.16 and 516.71

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Solution

The fourth proportional to 875.30, 1,208.16 and 516.71 is: 713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.30 : 1,208.16 = 516.71 : x
  2. Step 2: Convert to fraction form
    875.30/1,208.16 = 516.71/x
  3. Step 3: Cross multiply
    875.30x = 1,208.16 × 516.71
  4. Step 4: Simplify right side
    875.30x = 624,259.73
  5. Step 5: Solve for x
    x = 624,259.73/875.30
  6. Step 6: Final answer
    x = 713.20

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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.