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Finding the Fourth Proportional to 705.24, 1,056.42 and 412.20

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Solution

The fourth proportional to 705.24, 1,056.42 and 412.20 is: 617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.24 : 1,056.42 = 412.20 : x
  2. Step 2: Convert to fraction form
    705.24/1,056.42 = 412.20/x
  3. Step 3: Cross multiply
    705.24x = 1,056.42 × 412.20
  4. Step 4: Simplify right side
    705.24x = 435,456.32
  5. Step 5: Solve for x
    x = 435,456.32/705.24
  6. Step 6: Final answer
    x = 617.46

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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.