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Finding the Fourth Proportional to 436.32, 653.52 and 384.96

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Solution

The fourth proportional to 436.32, 653.52 and 384.96 is: 576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.32 : 653.52 = 384.96 : x
  2. Step 2: Convert to fraction form
    436.32/653.52 = 384.96/x
  3. Step 3: Cross multiply
    436.32x = 653.52 × 384.96
  4. Step 4: Simplify right side
    436.32x = 251,579.06
  5. Step 5: Solve for x
    x = 251,579.06/436.32
  6. Step 6: Final answer
    x = 576.59

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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.