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Finding the Fourth Proportional to 606.69, 836.43 and 507.16

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Solution

The fourth proportional to 606.69, 836.43 and 507.16 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.69 : 836.43 = 507.16 : x
  2. Step 2: Convert to fraction form
    606.69/836.43 = 507.16/x
  3. Step 3: Cross multiply
    606.69x = 836.43 × 507.16
  4. Step 4: Simplify right side
    606.69x = 424,202.98
  5. Step 5: Solve for x
    x = 424,202.98/606.69
  6. Step 6: Final answer
    x = 699.21

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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.