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Finding the Fourth Proportional to 611.99, 844.63 and 346.51

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Solution

The fourth proportional to 611.99, 844.63 and 346.51 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.99 : 844.63 = 346.51 : x
  2. Step 2: Convert to fraction form
    611.99/844.63 = 346.51/x
  3. Step 3: Cross multiply
    611.99x = 844.63 × 346.51
  4. Step 4: Simplify right side
    611.99x = 292,672.74
  5. Step 5: Solve for x
    x = 292,672.74/611.99
  6. Step 6: Final answer
    x = 478.23

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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.