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Finding the Fourth Proportional to 488.71, 670.55 and 484.12

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Solution

The fourth proportional to 488.71, 670.55 and 484.12 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.71 : 670.55 = 484.12 : x
  2. Step 2: Convert to fraction form
    488.71/670.55 = 484.12/x
  3. Step 3: Cross multiply
    488.71x = 670.55 × 484.12
  4. Step 4: Simplify right side
    488.71x = 324,626.67
  5. Step 5: Solve for x
    x = 324,626.67/488.71
  6. Step 6: Final answer
    x = 664.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.