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Finding the Fourth Proportional to 1,293.42, 1,784.97 and 703.98

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Solution

The fourth proportional to 1,293.42, 1,784.97 and 703.98 is: 971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.42 : 1,784.97 = 703.98 : x
  2. Step 2: Convert to fraction form
    1,293.42/1,784.97 = 703.98/x
  3. Step 3: Cross multiply
    1,293.42x = 1,784.97 × 703.98
  4. Step 4: Simplify right side
    1,293.42x = 1,256,583.18
  5. Step 5: Solve for x
    x = 1,256,583.18/1,293.42
  6. Step 6: Final answer
    x = 971.52

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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.