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Finding the Fourth Proportional to 988.99, 1,363.54 and 811.30

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Solution

The fourth proportional to 988.99, 1,363.54 and 811.30 is: 1,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.99 : 1,363.54 = 811.30 : x
  2. Step 2: Convert to fraction form
    988.99/1,363.54 = 811.30/x
  3. Step 3: Cross multiply
    988.99x = 1,363.54 × 811.30
  4. Step 4: Simplify right side
    988.99x = 1,106,240.00
  5. Step 5: Solve for x
    x = 1,106,240.00/988.99
  6. Step 6: Final answer
    x = 1,118.56

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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.