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Finding the Fourth Proportional to 535.72, 807.72 and 428.80

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Solution

The fourth proportional to 535.72, 807.72 and 428.80 is: 646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 807.72 = 428.80 : x
  2. Step 2: Convert to fraction form
    535.72/807.72 = 428.80/x
  3. Step 3: Cross multiply
    535.72x = 807.72 × 428.80
  4. Step 4: Simplify right side
    535.72x = 346,348.19
  5. Step 5: Solve for x
    x = 346,348.19/535.72
  6. Step 6: Final answer
    x = 646.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.