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Finding the Fourth Proportional to 700.19, 1,049.60 and 289.61

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Solution

The fourth proportional to 700.19, 1,049.60 and 289.61 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.19 : 1,049.60 = 289.61 : x
  2. Step 2: Convert to fraction form
    700.19/1,049.60 = 289.61/x
  3. Step 3: Cross multiply
    700.19x = 1,049.60 × 289.61
  4. Step 4: Simplify right side
    700.19x = 303,975.83
  5. Step 5: Solve for x
    x = 303,975.83/700.19
  6. Step 6: Final answer
    x = 434.14

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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.