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Finding the Fourth Proportional to 674.65, 930.93 and 454.03

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Solution

The fourth proportional to 674.65, 930.93 and 454.03 is: 626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.65 : 930.93 = 454.03 : x
  2. Step 2: Convert to fraction form
    674.65/930.93 = 454.03/x
  3. Step 3: Cross multiply
    674.65x = 930.93 × 454.03
  4. Step 4: Simplify right side
    674.65x = 422,670.15
  5. Step 5: Solve for x
    x = 422,670.15/674.65
  6. Step 6: Final answer
    x = 626.50

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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.