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Finding the Fourth Proportional to 612.32, 839.97 and 604.13

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Solution

The fourth proportional to 612.32, 839.97 and 604.13 is: 828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 839.97 = 604.13 : x
  2. Step 2: Convert to fraction form
    612.32/839.97 = 604.13/x
  3. Step 3: Cross multiply
    612.32x = 839.97 × 604.13
  4. Step 4: Simplify right side
    612.32x = 507,446.88
  5. Step 5: Solve for x
    x = 507,446.88/612.32
  6. Step 6: Final answer
    x = 828.74

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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.