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Finding the Fourth Proportional to 488.40, 674.24 and 383.31

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Solution

The fourth proportional to 488.40, 674.24 and 383.31 is: 529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 674.24 = 383.31 : x
  2. Step 2: Convert to fraction form
    488.40/674.24 = 383.31/x
  3. Step 3: Cross multiply
    488.40x = 674.24 × 383.31
  4. Step 4: Simplify right side
    488.40x = 258,442.93
  5. Step 5: Solve for x
    x = 258,442.93/488.40
  6. Step 6: Final answer
    x = 529.16

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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.