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Finding the Fourth Proportional to 650.60, 976.29 and 260.53

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Solution

The fourth proportional to 650.60, 976.29 and 260.53 is: 390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 976.29 = 260.53 : x
  2. Step 2: Convert to fraction form
    650.60/976.29 = 260.53/x
  3. Step 3: Cross multiply
    650.60x = 976.29 × 260.53
  4. Step 4: Simplify right side
    650.60x = 254,352.83
  5. Step 5: Solve for x
    x = 254,352.83/650.60
  6. Step 6: Final answer
    x = 390.95

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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.