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Finding the Fourth Proportional to 580, 799.08 and 448.84

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Solution

The fourth proportional to 580, 799.08 and 448.84 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 799.08 = 448.84 : x
  2. Step 2: Convert to fraction form
    580/799.08 = 448.84/x
  3. Step 3: Cross multiply
    580x = 799.08 × 448.84
  4. Step 4: Simplify right side
    580x = 358,659.07
  5. Step 5: Solve for x
    x = 358,659.07/580
  6. Step 6: Final answer
    x = 618.38

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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.