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Finding the Fourth Proportional to 624.01, 859.94 and 446.65

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Solution

The fourth proportional to 624.01, 859.94 and 446.65 is: 615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.01 : 859.94 = 446.65 : x
  2. Step 2: Convert to fraction form
    624.01/859.94 = 446.65/x
  3. Step 3: Cross multiply
    624.01x = 859.94 × 446.65
  4. Step 4: Simplify right side
    624.01x = 384,098.51
  5. Step 5: Solve for x
    x = 384,098.51/624.01
  6. Step 6: Final answer
    x = 615.54

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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.