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Finding the Fourth Proportional to 614.27, 848.43 and 448.22

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Solution

The fourth proportional to 614.27, 848.43 and 448.22 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.27 : 848.43 = 448.22 : x
  2. Step 2: Convert to fraction form
    614.27/848.43 = 448.22/x
  3. Step 3: Cross multiply
    614.27x = 848.43 × 448.22
  4. Step 4: Simplify right side
    614.27x = 380,283.29
  5. Step 5: Solve for x
    x = 380,283.29/614.27
  6. Step 6: Final answer
    x = 619.08

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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.