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Finding the Fourth Proportional to 535.68, 807.36 and 505.89

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Solution

The fourth proportional to 535.68, 807.36 and 505.89 is: 762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 807.36 = 505.89 : x
  2. Step 2: Convert to fraction form
    535.68/807.36 = 505.89/x
  3. Step 3: Cross multiply
    535.68x = 807.36 × 505.89
  4. Step 4: Simplify right side
    535.68x = 408,435.35
  5. Step 5: Solve for x
    x = 408,435.35/535.68
  6. Step 6: Final answer
    x = 762.46

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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.