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Finding the Fourth Proportional to 603.06, 830.12 and 520.44

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Solution

The fourth proportional to 603.06, 830.12 and 520.44 is: 716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.06 : 830.12 = 520.44 : x
  2. Step 2: Convert to fraction form
    603.06/830.12 = 520.44/x
  3. Step 3: Cross multiply
    603.06x = 830.12 × 520.44
  4. Step 4: Simplify right side
    603.06x = 432,027.65
  5. Step 5: Solve for x
    x = 432,027.65/603.06
  6. Step 6: Final answer
    x = 716.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.