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Finding the Fourth Proportional to 516.02, 712.04 and 294.90

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Solution

The fourth proportional to 516.02, 712.04 and 294.90 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 712.04 = 294.90 : x
  2. Step 2: Convert to fraction form
    516.02/712.04 = 294.90/x
  3. Step 3: Cross multiply
    516.02x = 712.04 × 294.90
  4. Step 4: Simplify right side
    516.02x = 209,981.33
  5. Step 5: Solve for x
    x = 209,981.33/516.02
  6. Step 6: Final answer
    x = 406.93

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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.