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Finding the Fourth Proportional to 516.16, 710.94 and 390.61

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Solution

The fourth proportional to 516.16, 710.94 and 390.61 is: 538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 710.94 = 390.61 : x
  2. Step 2: Convert to fraction form
    516.16/710.94 = 390.61/x
  3. Step 3: Cross multiply
    516.16x = 710.94 × 390.61
  4. Step 4: Simplify right side
    516.16x = 277,700.27
  5. Step 5: Solve for x
    x = 277,700.27/516.16
  6. Step 6: Final answer
    x = 538.01

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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.