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Finding the Fourth Proportional to 705.62, 1,051.53 and 684.48

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Solution

The fourth proportional to 705.62, 1,051.53 and 684.48 is: 1,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.62 : 1,051.53 = 684.48 : x
  2. Step 2: Convert to fraction form
    705.62/1,051.53 = 684.48/x
  3. Step 3: Cross multiply
    705.62x = 1,051.53 × 684.48
  4. Step 4: Simplify right side
    705.62x = 719,747.83
  5. Step 5: Solve for x
    x = 719,747.83/705.62
  6. Step 6: Final answer
    x = 1,020.02

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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.