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Finding the Fourth Proportional to 465.04, 696.84 and 412.48

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Solution

The fourth proportional to 465.04, 696.84 and 412.48 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.04 : 696.84 = 412.48 : x
  2. Step 2: Convert to fraction form
    465.04/696.84 = 412.48/x
  3. Step 3: Cross multiply
    465.04x = 696.84 × 412.48
  4. Step 4: Simplify right side
    465.04x = 287,432.56
  5. Step 5: Solve for x
    x = 287,432.56/465.04
  6. Step 6: Final answer
    x = 618.08

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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.