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Finding the Fourth Proportional to 451.65, 623.16 and 286.08

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Solution

The fourth proportional to 451.65, 623.16 and 286.08 is: 394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 623.16 = 286.08 : x
  2. Step 2: Convert to fraction form
    451.65/623.16 = 286.08/x
  3. Step 3: Cross multiply
    451.65x = 623.16 × 286.08
  4. Step 4: Simplify right side
    451.65x = 178,273.61
  5. Step 5: Solve for x
    x = 178,273.61/451.65
  6. Step 6: Final answer
    x = 394.72

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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.