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Finding the Fourth Proportional to 489.76, 730.62 and 454.84

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Solution

The fourth proportional to 489.76, 730.62 and 454.84 is: 678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.76 : 730.62 = 454.84 : x
  2. Step 2: Convert to fraction form
    489.76/730.62 = 454.84/x
  3. Step 3: Cross multiply
    489.76x = 730.62 × 454.84
  4. Step 4: Simplify right side
    489.76x = 332,315.20
  5. Step 5: Solve for x
    x = 332,315.20/489.76
  6. Step 6: Final answer
    x = 678.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.