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Finding the Fourth Proportional to 558.80, 770.16 and 448.08

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Solution

The fourth proportional to 558.80, 770.16 and 448.08 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.80 : 770.16 = 448.08 : x
  2. Step 2: Convert to fraction form
    558.80/770.16 = 448.08/x
  3. Step 3: Cross multiply
    558.80x = 770.16 × 448.08
  4. Step 4: Simplify right side
    558.80x = 345,093.90
  5. Step 5: Solve for x
    x = 345,093.90/558.80
  6. Step 6: Final answer
    x = 617.56

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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.