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Finding the Fourth Proportional to 451.85, 623.13 and 285.77

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Solution

The fourth proportional to 451.85, 623.13 and 285.77 is: 394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.85 : 623.13 = 285.77 : x
  2. Step 2: Convert to fraction form
    451.85/623.13 = 285.77/x
  3. Step 3: Cross multiply
    451.85x = 623.13 × 285.77
  4. Step 4: Simplify right side
    451.85x = 178,073.42
  5. Step 5: Solve for x
    x = 178,073.42/451.85
  6. Step 6: Final answer
    x = 394.10

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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.