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Finding the Fourth Proportional to 469.05, 646.93 and 448.37

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Solution

The fourth proportional to 469.05, 646.93 and 448.37 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.05 : 646.93 = 448.37 : x
  2. Step 2: Convert to fraction form
    469.05/646.93 = 448.37/x
  3. Step 3: Cross multiply
    469.05x = 646.93 × 448.37
  4. Step 4: Simplify right side
    469.05x = 290,060.77
  5. Step 5: Solve for x
    x = 290,060.77/469.05
  6. Step 6: Final answer
    x = 618.41

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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.