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Finding the Fourth Proportional to 488.41, 672.21 and 417.33

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Solution

The fourth proportional to 488.41, 672.21 and 417.33 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.41 : 672.21 = 417.33 : x
  2. Step 2: Convert to fraction form
    488.41/672.21 = 417.33/x
  3. Step 3: Cross multiply
    488.41x = 672.21 × 417.33
  4. Step 4: Simplify right side
    488.41x = 280,533.40
  5. Step 5: Solve for x
    x = 280,533.40/488.41
  6. Step 6: Final answer
    x = 574.38

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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.