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Finding the Fourth Proportional to 535.88, 800.68 and 524.36

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Solution

The fourth proportional to 535.88, 800.68 and 524.36 is: 783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 800.68 = 524.36 : x
  2. Step 2: Convert to fraction form
    535.88/800.68 = 524.36/x
  3. Step 3: Cross multiply
    535.88x = 800.68 × 524.36
  4. Step 4: Simplify right side
    535.88x = 419,844.56
  5. Step 5: Solve for x
    x = 419,844.56/535.88
  6. Step 6: Final answer
    x = 783.47

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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.