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Finding the Fourth Proportional to 606.71, 910.33 and 260.13

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Solution

The fourth proportional to 606.71, 910.33 and 260.13 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.71 : 910.33 = 260.13 : x
  2. Step 2: Convert to fraction form
    606.71/910.33 = 260.13/x
  3. Step 3: Cross multiply
    606.71x = 910.33 × 260.13
  4. Step 4: Simplify right side
    606.71x = 236,804.14
  5. Step 5: Solve for x
    x = 236,804.14/606.71
  6. Step 6: Final answer
    x = 390.31

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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.