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Finding the Fourth Proportional to 489.36, 673.80 and 382.74

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Solution

The fourth proportional to 489.36, 673.80 and 382.74 is: 526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 673.80 = 382.74 : x
  2. Step 2: Convert to fraction form
    489.36/673.80 = 382.74/x
  3. Step 3: Cross multiply
    489.36x = 673.80 × 382.74
  4. Step 4: Simplify right side
    489.36x = 257,890.21
  5. Step 5: Solve for x
    x = 257,890.21/489.36
  6. Step 6: Final answer
    x = 526.99

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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.