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Finding the Fourth Proportional to 489.04, 729.47 and 442.87

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Solution

The fourth proportional to 489.04, 729.47 and 442.87 is: 660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.04 : 729.47 = 442.87 : x
  2. Step 2: Convert to fraction form
    489.04/729.47 = 442.87/x
  3. Step 3: Cross multiply
    489.04x = 729.47 × 442.87
  4. Step 4: Simplify right side
    489.04x = 323,059.66
  5. Step 5: Solve for x
    x = 323,059.66/489.04
  6. Step 6: Final answer
    x = 660.60

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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.