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Finding the Fourth Proportional to 489.76, 675.44 and 446

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Solution

The fourth proportional to 489.76, 675.44 and 446 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.76 : 675.44 = 446 : x
  2. Step 2: Convert to fraction form
    489.76/675.44 = 446/x
  3. Step 3: Cross multiply
    489.76x = 675.44 × 446
  4. Step 4: Simplify right side
    489.76x = 301,246.24
  5. Step 5: Solve for x
    x = 301,246.24/489.76
  6. Step 6: Final answer
    x = 615.09

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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.