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Finding the Fourth Proportional to 705.54, 1,051.04 and 684.05

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Solution

The fourth proportional to 705.54, 1,051.04 and 684.05 is: 1,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.54 : 1,051.04 = 684.05 : x
  2. Step 2: Convert to fraction form
    705.54/1,051.04 = 684.05/x
  3. Step 3: Cross multiply
    705.54x = 1,051.04 × 684.05
  4. Step 4: Simplify right side
    705.54x = 718,960.37
  5. Step 5: Solve for x
    x = 718,960.37/705.54
  6. Step 6: Final answer
    x = 1,019.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.