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Finding the Fourth Proportional to 612.50, 845.26 and 438.14

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Solution

The fourth proportional to 612.50, 845.26 and 438.14 is: 604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 845.26 = 438.14 : x
  2. Step 2: Convert to fraction form
    612.50/845.26 = 438.14/x
  3. Step 3: Cross multiply
    612.50x = 845.26 × 438.14
  4. Step 4: Simplify right side
    612.50x = 370,342.22
  5. Step 5: Solve for x
    x = 370,342.22/612.50
  6. Step 6: Final answer
    x = 604.64

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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.