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Finding the Fourth Proportional to 617.10, 924.48 and 384.90

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Solution

The fourth proportional to 617.10, 924.48 and 384.90 is: 576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 924.48 = 384.90 : x
  2. Step 2: Convert to fraction form
    617.10/924.48 = 384.90/x
  3. Step 3: Cross multiply
    617.10x = 924.48 × 384.90
  4. Step 4: Simplify right side
    617.10x = 355,832.35
  5. Step 5: Solve for x
    x = 355,832.35/617.10
  6. Step 6: Final answer
    x = 576.62

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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.