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Finding the Fourth Proportional to 504.83, 755.61 and 261.02

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Solution

The fourth proportional to 504.83, 755.61 and 261.02 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.83 : 755.61 = 261.02 : x
  2. Step 2: Convert to fraction form
    504.83/755.61 = 261.02/x
  3. Step 3: Cross multiply
    504.83x = 755.61 × 261.02
  4. Step 4: Simplify right side
    504.83x = 197,229.32
  5. Step 5: Solve for x
    x = 197,229.32/504.83
  6. Step 6: Final answer
    x = 390.68

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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.