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Finding the Fourth Proportional to 705.33, 1,051.67 and 678.24

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Solution

The fourth proportional to 705.33, 1,051.67 and 678.24 is: 1,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 1,051.67 = 678.24 : x
  2. Step 2: Convert to fraction form
    705.33/1,051.67 = 678.24/x
  3. Step 3: Cross multiply
    705.33x = 1,051.67 × 678.24
  4. Step 4: Simplify right side
    705.33x = 713,286.36
  5. Step 5: Solve for x
    x = 713,286.36/705.33
  6. Step 6: Final answer
    x = 1,011.28

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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.