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Finding the Fourth Proportional to 1,373.15, 2,056.05 and 722.51

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Solution

The fourth proportional to 1,373.15, 2,056.05 and 722.51 is: 1,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.15 : 2,056.05 = 722.51 : x
  2. Step 2: Convert to fraction form
    1,373.15/2,056.05 = 722.51/x
  3. Step 3: Cross multiply
    1,373.15x = 2,056.05 × 722.51
  4. Step 4: Simplify right side
    1,373.15x = 1,485,506.41
  5. Step 5: Solve for x
    x = 1,485,506.41/1,373.15
  6. Step 6: Final answer
    x = 1,081.83

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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.