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Finding the Fourth Proportional to 489.36, 729.79 and 456.58

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Solution

The fourth proportional to 489.36, 729.79 and 456.58 is: 680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 729.79 = 456.58 : x
  2. Step 2: Convert to fraction form
    489.36/729.79 = 456.58/x
  3. Step 3: Cross multiply
    489.36x = 729.79 × 456.58
  4. Step 4: Simplify right side
    489.36x = 333,207.52
  5. Step 5: Solve for x
    x = 333,207.52/489.36
  6. Step 6: Final answer
    x = 680.90

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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.