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Finding the Fourth Proportional to 722.50, 1,084.02 and 289.69

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Solution

The fourth proportional to 722.50, 1,084.02 and 289.69 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 1,084.02 = 289.69 : x
  2. Step 2: Convert to fraction form
    722.50/1,084.02 = 289.69/x
  3. Step 3: Cross multiply
    722.50x = 1,084.02 × 289.69
  4. Step 4: Simplify right side
    722.50x = 314,029.75
  5. Step 5: Solve for x
    x = 314,029.75/722.50
  6. Step 6: Final answer
    x = 434.64

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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.