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Finding the Fourth Proportional to 705.73, 974.42 and 457.19

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Solution

The fourth proportional to 705.73, 974.42 and 457.19 is: 631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.73 : 974.42 = 457.19 : x
  2. Step 2: Convert to fraction form
    705.73/974.42 = 457.19/x
  3. Step 3: Cross multiply
    705.73x = 974.42 × 457.19
  4. Step 4: Simplify right side
    705.73x = 445,495.08
  5. Step 5: Solve for x
    x = 445,495.08/705.73
  6. Step 6: Final answer
    x = 631.25

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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.