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Finding the Fourth Proportional to 535.79, 803.67 and 145.79

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Solution

The fourth proportional to 535.79, 803.67 and 145.79 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.79 : 803.67 = 145.79 : x
  2. Step 2: Convert to fraction form
    535.79/803.67 = 145.79/x
  3. Step 3: Cross multiply
    535.79x = 803.67 × 145.79
  4. Step 4: Simplify right side
    535.79x = 117,167.05
  5. Step 5: Solve for x
    x = 117,167.05/535.79
  6. Step 6: Final answer
    x = 218.68

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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.