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Finding the Fourth Proportional to 604.32, 904.83 and 315.15

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Solution

The fourth proportional to 604.32, 904.83 and 315.15 is: 471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.32 : 904.83 = 315.15 : x
  2. Step 2: Convert to fraction form
    604.32/904.83 = 315.15/x
  3. Step 3: Cross multiply
    604.32x = 904.83 × 315.15
  4. Step 4: Simplify right side
    604.32x = 285,157.17
  5. Step 5: Solve for x
    x = 285,157.17/604.32
  6. Step 6: Final answer
    x = 471.86

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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.