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Finding the Fourth Proportional to 488.47, 674.16 and 289.33

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Solution

The fourth proportional to 488.47, 674.16 and 289.33 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.47 : 674.16 = 289.33 : x
  2. Step 2: Convert to fraction form
    488.47/674.16 = 289.33/x
  3. Step 3: Cross multiply
    488.47x = 674.16 × 289.33
  4. Step 4: Simplify right side
    488.47x = 195,054.71
  5. Step 5: Solve for x
    x = 195,054.71/488.47
  6. Step 6: Final answer
    x = 399.32

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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.