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Finding the Fourth Proportional to 504.77, 756.14 and 260.96

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Solution

The fourth proportional to 504.77, 756.14 and 260.96 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 756.14 = 260.96 : x
  2. Step 2: Convert to fraction form
    504.77/756.14 = 260.96/x
  3. Step 3: Cross multiply
    504.77x = 756.14 × 260.96
  4. Step 4: Simplify right side
    504.77x = 197,317.21
  5. Step 5: Solve for x
    x = 197,317.21/504.77
  6. Step 6: Final answer
    x = 390.91

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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.