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Finding the Fourth Proportional to 1,236.96, 1,706.64 and 712.80

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Solution

The fourth proportional to 1,236.96, 1,706.64 and 712.80 is: 983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.96 : 1,706.64 = 712.80 : x
  2. Step 2: Convert to fraction form
    1,236.96/1,706.64 = 712.80/x
  3. Step 3: Cross multiply
    1,236.96x = 1,706.64 × 712.80
  4. Step 4: Simplify right side
    1,236.96x = 1,216,492.99
  5. Step 5: Solve for x
    x = 1,216,492.99/1,236.96
  6. Step 6: Final answer
    x = 983.45

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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.