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Finding the Fourth Proportional to 703.89, 1,050.08 and 589.05

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Solution

The fourth proportional to 703.89, 1,050.08 and 589.05 is: 878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.89 : 1,050.08 = 589.05 : x
  2. Step 2: Convert to fraction form
    703.89/1,050.08 = 589.05/x
  3. Step 3: Cross multiply
    703.89x = 1,050.08 × 589.05
  4. Step 4: Simplify right side
    703.89x = 618,546.68
  5. Step 5: Solve for x
    x = 618,546.68/703.89
  6. Step 6: Final answer
    x = 878.75

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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.