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Finding the Fourth Proportional to 608.71, 840.09 and 412.69

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Solution

The fourth proportional to 608.71, 840.09 and 412.69 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.71 : 840.09 = 412.69 : x
  2. Step 2: Convert to fraction form
    608.71/840.09 = 412.69/x
  3. Step 3: Cross multiply
    608.71x = 840.09 × 412.69
  4. Step 4: Simplify right side
    608.71x = 346,696.74
  5. Step 5: Solve for x
    x = 346,696.74/608.71
  6. Step 6: Final answer
    x = 569.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.