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Finding the Fourth Proportional to 507.76, 761.38 and 302.27

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Solution

The fourth proportional to 507.76, 761.38 and 302.27 is: 453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 761.38 = 302.27 : x
  2. Step 2: Convert to fraction form
    507.76/761.38 = 302.27/x
  3. Step 3: Cross multiply
    507.76x = 761.38 × 302.27
  4. Step 4: Simplify right side
    507.76x = 230,137.77
  5. Step 5: Solve for x
    x = 230,137.77/507.76
  6. Step 6: Final answer
    x = 453.24

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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.