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Finding the Fourth Proportional to 1,233.98, 1,703.05 and 703.03

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Solution

The fourth proportional to 1,233.98, 1,703.05 and 703.03 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.98 : 1,703.05 = 703.03 : x
  2. Step 2: Convert to fraction form
    1,233.98/1,703.05 = 703.03/x
  3. Step 3: Cross multiply
    1,233.98x = 1,703.05 × 703.03
  4. Step 4: Simplify right side
    1,233.98x = 1,197,294.40
  5. Step 5: Solve for x
    x = 1,197,294.40/1,233.98
  6. Step 6: Final answer
    x = 970.27

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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.