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Finding the Fourth Proportional to 722.86, 1,085.70 and 449.50

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Solution

The fourth proportional to 722.86, 1,085.70 and 449.50 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.86 : 1,085.70 = 449.50 : x
  2. Step 2: Convert to fraction form
    722.86/1,085.70 = 449.50/x
  3. Step 3: Cross multiply
    722.86x = 1,085.70 × 449.50
  4. Step 4: Simplify right side
    722.86x = 488,022.15
  5. Step 5: Solve for x
    x = 488,022.15/722.86
  6. Step 6: Final answer
    x = 675.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.