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Finding the Fourth Proportional to 604.16, 904.58 and 398.22

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Solution

The fourth proportional to 604.16, 904.58 and 398.22 is: 596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 904.58 = 398.22 : x
  2. Step 2: Convert to fraction form
    604.16/904.58 = 398.22/x
  3. Step 3: Cross multiply
    604.16x = 904.58 × 398.22
  4. Step 4: Simplify right side
    604.16x = 360,221.85
  5. Step 5: Solve for x
    x = 360,221.85/604.16
  6. Step 6: Final answer
    x = 596.24

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1.5x scale

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.