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Finding the Fourth Proportional to 605.70, 836.64 and 507.96

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Solution

The fourth proportional to 605.70, 836.64 and 507.96 is: 701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.70 : 836.64 = 507.96 : x
  2. Step 2: Convert to fraction form
    605.70/836.64 = 507.96/x
  3. Step 3: Cross multiply
    605.70x = 836.64 × 507.96
  4. Step 4: Simplify right side
    605.70x = 424,979.65
  5. Step 5: Solve for x
    x = 424,979.65/605.70
  6. Step 6: Final answer
    x = 701.63

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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.