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Finding the Fourth Proportional to 1,101.99, 1,653.26 and 777.99

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Solution

The fourth proportional to 1,101.99, 1,653.26 and 777.99 is: 1,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.99 : 1,653.26 = 777.99 : x
  2. Step 2: Convert to fraction form
    1,101.99/1,653.26 = 777.99/x
  3. Step 3: Cross multiply
    1,101.99x = 1,653.26 × 777.99
  4. Step 4: Simplify right side
    1,101.99x = 1,286,207.59
  5. Step 5: Solve for x
    x = 1,286,207.59/1,101.99
  6. Step 6: Final answer
    x = 1,167.17

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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.