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Finding the Fourth Proportional to 1,181.84, 1,631.04 and 716.36

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Solution

The fourth proportional to 1,181.84, 1,631.04 and 716.36 is: 988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.84 : 1,631.04 = 716.36 : x
  2. Step 2: Convert to fraction form
    1,181.84/1,631.04 = 716.36/x
  3. Step 3: Cross multiply
    1,181.84x = 1,631.04 × 716.36
  4. Step 4: Simplify right side
    1,181.84x = 1,168,411.81
  5. Step 5: Solve for x
    x = 1,168,411.81/1,181.84
  6. Step 6: Final answer
    x = 988.64

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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.