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Finding the Fourth Proportional to 455.07, 623.90 and 446.87

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Solution

The fourth proportional to 455.07, 623.90 and 446.87 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.07 : 623.90 = 446.87 : x
  2. Step 2: Convert to fraction form
    455.07/623.90 = 446.87/x
  3. Step 3: Cross multiply
    455.07x = 623.90 × 446.87
  4. Step 4: Simplify right side
    455.07x = 278,802.19
  5. Step 5: Solve for x
    x = 278,802.19/455.07
  6. Step 6: Final answer
    x = 612.66

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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.