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Finding the Fourth Proportional to 1,316.99, 1,974.84 and 816.72

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Solution

The fourth proportional to 1,316.99, 1,974.84 and 816.72 is: 1,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.99 : 1,974.84 = 816.72 : x
  2. Step 2: Convert to fraction form
    1,316.99/1,974.84 = 816.72/x
  3. Step 3: Cross multiply
    1,316.99x = 1,974.84 × 816.72
  4. Step 4: Simplify right side
    1,316.99x = 1,612,880.86
  5. Step 5: Solve for x
    x = 1,612,880.86/1,316.99
  6. Step 6: Final answer
    x = 1,224.67

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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.