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Finding the Fourth Proportional to 612.53, 844.62 and 455.45

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Solution

The fourth proportional to 612.53, 844.62 and 455.45 is: 628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.53 : 844.62 = 455.45 : x
  2. Step 2: Convert to fraction form
    612.53/844.62 = 455.45/x
  3. Step 3: Cross multiply
    612.53x = 844.62 × 455.45
  4. Step 4: Simplify right side
    612.53x = 384,682.01
  5. Step 5: Solve for x
    x = 384,682.01/612.53
  6. Step 6: Final answer
    x = 628.02

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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.