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Finding the Fourth Proportional to 1,199.02, 1,798.51 and 654.67

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Solution

The fourth proportional to 1,199.02, 1,798.51 and 654.67 is: 981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.02 : 1,798.51 = 654.67 : x
  2. Step 2: Convert to fraction form
    1,199.02/1,798.51 = 654.67/x
  3. Step 3: Cross multiply
    1,199.02x = 1,798.51 × 654.67
  4. Step 4: Simplify right side
    1,199.02x = 1,177,418.28
  5. Step 5: Solve for x
    x = 1,177,418.28/1,199.02
  6. Step 6: Final answer
    x = 981.99

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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.