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Finding the Fourth Proportional to 507.51, 760.91 and 315.09

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Solution

The fourth proportional to 507.51, 760.91 and 315.09 is: 472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 760.91 = 315.09 : x
  2. Step 2: Convert to fraction form
    507.51/760.91 = 315.09/x
  3. Step 3: Cross multiply
    507.51x = 760.91 × 315.09
  4. Step 4: Simplify right side
    507.51x = 239,753.56
  5. Step 5: Solve for x
    x = 239,753.56/507.51
  6. Step 6: Final answer
    x = 472.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.