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Finding the Fourth Proportional to 613.90, 919.50 and 460

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Solution

The fourth proportional to 613.90, 919.50 and 460 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.90 : 919.50 = 460 : x
  2. Step 2: Convert to fraction form
    613.90/919.50 = 460/x
  3. Step 3: Cross multiply
    613.90x = 919.50 × 460
  4. Step 4: Simplify right side
    613.90x = 422,970
  5. Step 5: Solve for x
    x = 422,970/613.90
  6. Step 6: Final answer
    x = 688.99

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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.