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Finding the Fourth Proportional to 507.49, 700.43 and 310.97

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Solution

The fourth proportional to 507.49, 700.43 and 310.97 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.49 : 700.43 = 310.97 : x
  2. Step 2: Convert to fraction form
    507.49/700.43 = 310.97/x
  3. Step 3: Cross multiply
    507.49x = 700.43 × 310.97
  4. Step 4: Simplify right side
    507.49x = 217,812.91
  5. Step 5: Solve for x
    x = 217,812.91/507.49
  6. Step 6: Final answer
    x = 429.20

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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.