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Finding the Fourth Proportional to 648.40, 894.12 and 451.84

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Solution

The fourth proportional to 648.40, 894.12 and 451.84 is: 623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 894.12 = 451.84 : x
  2. Step 2: Convert to fraction form
    648.40/894.12 = 451.84/x
  3. Step 3: Cross multiply
    648.40x = 894.12 × 451.84
  4. Step 4: Simplify right side
    648.40x = 403,999.18
  5. Step 5: Solve for x
    x = 403,999.18/648.40
  6. Step 6: Final answer
    x = 623.07

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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.