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Finding the Fourth Proportional to 600.24, 900.21 and 405.13

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Solution

The fourth proportional to 600.24, 900.21 and 405.13 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 900.21 = 405.13 : x
  2. Step 2: Convert to fraction form
    600.24/900.21 = 405.13/x
  3. Step 3: Cross multiply
    600.24x = 900.21 × 405.13
  4. Step 4: Simplify right side
    600.24x = 364,702.08
  5. Step 5: Solve for x
    x = 364,702.08/600.24
  6. Step 6: Final answer
    x = 607.59

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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.