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Finding the Fourth Proportional to 1,199.99, 1,656.02 and 676.07

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Solution

The fourth proportional to 1,199.99, 1,656.02 and 676.07 is: 933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.99 : 1,656.02 = 676.07 : x
  2. Step 2: Convert to fraction form
    1,199.99/1,656.02 = 676.07/x
  3. Step 3: Cross multiply
    1,199.99x = 1,656.02 × 676.07
  4. Step 4: Simplify right side
    1,199.99x = 1,119,585.44
  5. Step 5: Solve for x
    x = 1,119,585.44/1,199.99
  6. Step 6: Final answer
    x = 933.00

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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.