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Finding the Fourth Proportional to 705.61, 1,056.79 and 380.19

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Solution

The fourth proportional to 705.61, 1,056.79 and 380.19 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.61 : 1,056.79 = 380.19 : x
  2. Step 2: Convert to fraction form
    705.61/1,056.79 = 380.19/x
  3. Step 3: Cross multiply
    705.61x = 1,056.79 × 380.19
  4. Step 4: Simplify right side
    705.61x = 401,779.09
  5. Step 5: Solve for x
    x = 401,779.09/705.61
  6. Step 6: Final answer
    x = 569.41

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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.