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Finding the Fourth Proportional to 413, 568.82 and 384.28

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Solution

The fourth proportional to 413, 568.82 and 384.28 is: 529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 568.82 = 384.28 : x
  2. Step 2: Convert to fraction form
    413/568.82 = 384.28/x
  3. Step 3: Cross multiply
    413x = 568.82 × 384.28
  4. Step 4: Simplify right side
    413x = 218,586.15
  5. Step 5: Solve for x
    x = 218,586.15/413
  6. Step 6: Final answer
    x = 529.26

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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.