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Finding the Fourth Proportional to 600.20, 893.12 and 598.15

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Solution

The fourth proportional to 600.20, 893.12 and 598.15 is: 890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.20 : 893.12 = 598.15 : x
  2. Step 2: Convert to fraction form
    600.20/893.12 = 598.15/x
  3. Step 3: Cross multiply
    600.20x = 893.12 × 598.15
  4. Step 4: Simplify right side
    600.20x = 534,219.73
  5. Step 5: Solve for x
    x = 534,219.73/600.20
  6. Step 6: Final answer
    x = 890.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.