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Finding the Fourth Proportional to 454.65, 623.31 and 446.45

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Solution

The fourth proportional to 454.65, 623.31 and 446.45 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.65 : 623.31 = 446.45 : x
  2. Step 2: Convert to fraction form
    454.65/623.31 = 446.45/x
  3. Step 3: Cross multiply
    454.65x = 623.31 × 446.45
  4. Step 4: Simplify right side
    454.65x = 278,274.47
  5. Step 5: Solve for x
    x = 278,274.47/454.65
  6. Step 6: Final answer
    x = 612.07

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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.