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Finding the Fourth Proportional to 535.68, 802.56 and 428.16

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Solution

The fourth proportional to 535.68, 802.56 and 428.16 is: 641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 802.56 = 428.16 : x
  2. Step 2: Convert to fraction form
    535.68/802.56 = 428.16/x
  3. Step 3: Cross multiply
    535.68x = 802.56 × 428.16
  4. Step 4: Simplify right side
    535.68x = 343,624.09
  5. Step 5: Solve for x
    x = 343,624.09/535.68
  6. Step 6: Final answer
    x = 641.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.