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Finding the Fourth Proportional to 623.81, 860.96 and 457.94

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Solution

The fourth proportional to 623.81, 860.96 and 457.94 is: 632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.81 : 860.96 = 457.94 : x
  2. Step 2: Convert to fraction form
    623.81/860.96 = 457.94/x
  3. Step 3: Cross multiply
    623.81x = 860.96 × 457.94
  4. Step 4: Simplify right side
    623.81x = 394,268.02
  5. Step 5: Solve for x
    x = 394,268.02/623.81
  6. Step 6: Final answer
    x = 632.03

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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.