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Finding the Fourth Proportional to 389.76, 585.60 and 384.96

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Solution

The fourth proportional to 389.76, 585.60 and 384.96 is: 578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 585.60 = 384.96 : x
  2. Step 2: Convert to fraction form
    389.76/585.60 = 384.96/x
  3. Step 3: Cross multiply
    389.76x = 585.60 × 384.96
  4. Step 4: Simplify right side
    389.76x = 225,432.58
  5. Step 5: Solve for x
    x = 225,432.58/389.76
  6. Step 6: Final answer
    x = 578.39

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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.