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Finding the Fourth Proportional to 1,054.95, 1,454.34 and 722.85

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Solution

The fourth proportional to 1,054.95, 1,454.34 and 722.85 is: 996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.95 : 1,454.34 = 722.85 : x
  2. Step 2: Convert to fraction form
    1,054.95/1,454.34 = 722.85/x
  3. Step 3: Cross multiply
    1,054.95x = 1,454.34 × 722.85
  4. Step 4: Simplify right side
    1,054.95x = 1,051,269.67
  5. Step 5: Solve for x
    x = 1,051,269.67/1,054.95
  6. Step 6: Final answer
    x = 996.51

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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.