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Finding the Fourth Proportional to 1,316.37, 1,973.61 and 622.67

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Solution

The fourth proportional to 1,316.37, 1,973.61 and 622.67 is: 933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.37 : 1,973.61 = 622.67 : x
  2. Step 2: Convert to fraction form
    1,316.37/1,973.61 = 622.67/x
  3. Step 3: Cross multiply
    1,316.37x = 1,973.61 × 622.67
  4. Step 4: Simplify right side
    1,316.37x = 1,228,912.67
  5. Step 5: Solve for x
    x = 1,228,912.67/1,316.37
  6. Step 6: Final answer
    x = 933.56

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1.5x scale

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.