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Finding the Fourth Proportional to 504.15, 755.61 and 260.54

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Solution

The fourth proportional to 504.15, 755.61 and 260.54 is: 390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 755.61 = 260.54 : x
  2. Step 2: Convert to fraction form
    504.15/755.61 = 260.54/x
  3. Step 3: Cross multiply
    504.15x = 755.61 × 260.54
  4. Step 4: Simplify right side
    504.15x = 196,866.63
  5. Step 5: Solve for x
    x = 196,866.63/504.15
  6. Step 6: Final answer
    x = 390.49

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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.