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Finding the Fourth Proportional to 1,017.80, 1,403.90 and 722.56

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Solution

The fourth proportional to 1,017.80, 1,403.90 and 722.56 is: 996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.80 : 1,403.90 = 722.56 : x
  2. Step 2: Convert to fraction form
    1,017.80/1,403.90 = 722.56/x
  3. Step 3: Cross multiply
    1,017.80x = 1,403.90 × 722.56
  4. Step 4: Simplify right side
    1,017.80x = 1,014,401.98
  5. Step 5: Solve for x
    x = 1,014,401.98/1,017.80
  6. Step 6: Final answer
    x = 996.66

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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.