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Finding the Fourth Proportional to 1,283.36, 1,770.86 and 723.74

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Solution

The fourth proportional to 1,283.36, 1,770.86 and 723.74 is: 998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.36 : 1,770.86 = 723.74 : x
  2. Step 2: Convert to fraction form
    1,283.36/1,770.86 = 723.74/x
  3. Step 3: Cross multiply
    1,283.36x = 1,770.86 × 723.74
  4. Step 4: Simplify right side
    1,283.36x = 1,281,642.22
  5. Step 5: Solve for x
    x = 1,281,642.22/1,283.36
  6. Step 6: Final answer
    x = 998.66

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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.