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Finding the Fourth Proportional to 967.05, 1,334.91 and 652.50

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Solution

The fourth proportional to 967.05, 1,334.91 and 652.50 is: 900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.05 : 1,334.91 = 652.50 : x
  2. Step 2: Convert to fraction form
    967.05/1,334.91 = 652.50/x
  3. Step 3: Cross multiply
    967.05x = 1,334.91 × 652.50
  4. Step 4: Simplify right side
    967.05x = 871,028.78
  5. Step 5: Solve for x
    x = 871,028.78/967.05
  6. Step 6: Final answer
    x = 900.71

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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.