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Finding the Fourth Proportional to 707.73, 1,059.76 and 489.03

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Solution

The fourth proportional to 707.73, 1,059.76 and 489.03 is: 732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.73 : 1,059.76 = 489.03 : x
  2. Step 2: Convert to fraction form
    707.73/1,059.76 = 489.03/x
  3. Step 3: Cross multiply
    707.73x = 1,059.76 × 489.03
  4. Step 4: Simplify right side
    707.73x = 518,251.07
  5. Step 5: Solve for x
    x = 518,251.07/707.73
  6. Step 6: Final answer
    x = 732.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.