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Finding the Fourth Proportional to 946.03, 1,298.50 and 838.75

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Solution

The fourth proportional to 946.03, 1,298.50 and 838.75 is: 1,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.03 : 1,298.50 = 838.75 : x
  2. Step 2: Convert to fraction form
    946.03/1,298.50 = 838.75/x
  3. Step 3: Cross multiply
    946.03x = 1,298.50 × 838.75
  4. Step 4: Simplify right side
    946.03x = 1,089,116.88
  5. Step 5: Solve for x
    x = 1,089,116.88/946.03
  6. Step 6: Final answer
    x = 1,151.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.