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Finding the Fourth Proportional to 604.45, 830.93 and 520.12

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Solution

The fourth proportional to 604.45, 830.93 and 520.12 is: 715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.45 : 830.93 = 520.12 : x
  2. Step 2: Convert to fraction form
    604.45/830.93 = 520.12/x
  3. Step 3: Cross multiply
    604.45x = 830.93 × 520.12
  4. Step 4: Simplify right side
    604.45x = 432,183.31
  5. Step 5: Solve for x
    x = 432,183.31/604.45
  6. Step 6: Final answer
    x = 715.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.