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Finding the Fourth Proportional to 508.17, 760.91 and 404.76

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Solution

The fourth proportional to 508.17, 760.91 and 404.76 is: 606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 760.91 = 404.76 : x
  2. Step 2: Convert to fraction form
    508.17/760.91 = 404.76/x
  3. Step 3: Cross multiply
    508.17x = 760.91 × 404.76
  4. Step 4: Simplify right side
    508.17x = 307,983.91
  5. Step 5: Solve for x
    x = 307,983.91/508.17
  6. Step 6: Final answer
    x = 606.06

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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.