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Finding the Fourth Proportional to 612.36, 914.82 and 437.64

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Solution

The fourth proportional to 612.36, 914.82 and 437.64 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 914.82 = 437.64 : x
  2. Step 2: Convert to fraction form
    612.36/914.82 = 437.64/x
  3. Step 3: Cross multiply
    612.36x = 914.82 × 437.64
  4. Step 4: Simplify right side
    612.36x = 400,361.82
  5. Step 5: Solve for x
    x = 400,361.82/612.36
  6. Step 6: Final answer
    x = 653.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.