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Finding the Fourth Proportional to 705.12, 1,050.78 and 683.98

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Solution

The fourth proportional to 705.12, 1,050.78 and 683.98 is: 1,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 1,050.78 = 683.98 : x
  2. Step 2: Convert to fraction form
    705.12/1,050.78 = 683.98/x
  3. Step 3: Cross multiply
    705.12x = 1,050.78 × 683.98
  4. Step 4: Simplify right side
    705.12x = 718,712.50
  5. Step 5: Solve for x
    x = 718,712.50/705.12
  6. Step 6: Final answer
    x = 1,019.28

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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.