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Finding the Fourth Proportional to 552.45, 761.13 and 384.24

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Solution

The fourth proportional to 552.45, 761.13 and 384.24 is: 529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 761.13 = 384.24 : x
  2. Step 2: Convert to fraction form
    552.45/761.13 = 384.24/x
  3. Step 3: Cross multiply
    552.45x = 761.13 × 384.24
  4. Step 4: Simplify right side
    552.45x = 292,456.59
  5. Step 5: Solve for x
    x = 292,456.59/552.45
  6. Step 6: Final answer
    x = 529.38

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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.