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Finding the Fourth Proportional to 600.30, 898.95 and 380.26

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Solution

The fourth proportional to 600.30, 898.95 and 380.26 is: 569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 898.95 = 380.26 : x
  2. Step 2: Convert to fraction form
    600.30/898.95 = 380.26/x
  3. Step 3: Cross multiply
    600.30x = 898.95 × 380.26
  4. Step 4: Simplify right side
    600.30x = 341,835.14
  5. Step 5: Solve for x
    x = 341,835.14/600.30
  6. Step 6: Final answer
    x = 569.44

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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.