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Finding the Fourth Proportional to 508.70, 761.64 and 384.92

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Solution

The fourth proportional to 508.70, 761.64 and 384.92 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.70 : 761.64 = 384.92 : x
  2. Step 2: Convert to fraction form
    508.70/761.64 = 384.92/x
  3. Step 3: Cross multiply
    508.70x = 761.64 × 384.92
  4. Step 4: Simplify right side
    508.70x = 293,170.47
  5. Step 5: Solve for x
    x = 293,170.47/508.70
  6. Step 6: Final answer
    x = 576.31

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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.