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Finding the Fourth Proportional to 435.76, 648.80 and 433.60

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Solution

The fourth proportional to 435.76, 648.80 and 433.60 is: 645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.76 : 648.80 = 433.60 : x
  2. Step 2: Convert to fraction form
    435.76/648.80 = 433.60/x
  3. Step 3: Cross multiply
    435.76x = 648.80 × 433.60
  4. Step 4: Simplify right side
    435.76x = 281,319.68
  5. Step 5: Solve for x
    x = 281,319.68/435.76
  6. Step 6: Final answer
    x = 645.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.