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Finding the Fourth Proportional to 648.24, 894.84 and 435.60

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Solution

The fourth proportional to 648.24, 894.84 and 435.60 is: 601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 894.84 = 435.60 : x
  2. Step 2: Convert to fraction form
    648.24/894.84 = 435.60/x
  3. Step 3: Cross multiply
    648.24x = 894.84 × 435.60
  4. Step 4: Simplify right side
    648.24x = 389,792.30
  5. Step 5: Solve for x
    x = 389,792.30/648.24
  6. Step 6: Final answer
    x = 601.31

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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.