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Finding the Fourth Proportional to 612.39, 845.48 and 423.66

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Solution

The fourth proportional to 612.39, 845.48 and 423.66 is: 584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.39 : 845.48 = 423.66 : x
  2. Step 2: Convert to fraction form
    612.39/845.48 = 423.66/x
  3. Step 3: Cross multiply
    612.39x = 845.48 × 423.66
  4. Step 4: Simplify right side
    612.39x = 358,196.06
  5. Step 5: Solve for x
    x = 358,196.06/612.39
  6. Step 6: Final answer
    x = 584.91

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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.