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Finding the Fourth Proportional to 705.21, 1,055.94 and 566.70

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Solution

The fourth proportional to 705.21, 1,055.94 and 566.70 is: 848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 1,055.94 = 566.70 : x
  2. Step 2: Convert to fraction form
    705.21/1,055.94 = 566.70/x
  3. Step 3: Cross multiply
    705.21x = 1,055.94 × 566.70
  4. Step 4: Simplify right side
    705.21x = 598,395.11
  5. Step 5: Solve for x
    x = 598,395.11/705.21
  6. Step 6: Final answer
    x = 848.54

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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.