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Finding the Fourth Proportional to 873.75, 1,206.50 and 764.49

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Solution

The fourth proportional to 873.75, 1,206.50 and 764.49 is: 1,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.75 : 1,206.50 = 764.49 : x
  2. Step 2: Convert to fraction form
    873.75/1,206.50 = 764.49/x
  3. Step 3: Cross multiply
    873.75x = 1,206.50 × 764.49
  4. Step 4: Simplify right side
    873.75x = 922,353.36
  5. Step 5: Solve for x
    x = 922,353.36/873.75
  6. Step 6: Final answer
    x = 1,055.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.