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Finding the Fourth Proportional to 988.36, 1,483.80 and 806.11

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Solution

The fourth proportional to 988.36, 1,483.80 and 806.11 is: 1,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.36 : 1,483.80 = 806.11 : x
  2. Step 2: Convert to fraction form
    988.36/1,483.80 = 806.11/x
  3. Step 3: Cross multiply
    988.36x = 1,483.80 × 806.11
  4. Step 4: Simplify right side
    988.36x = 1,196,106.02
  5. Step 5: Solve for x
    x = 1,196,106.02/988.36
  6. Step 6: Final answer
    x = 1,210.19

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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.