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Finding the Fourth Proportional to 705.07, 970.73 and 564.67

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Solution

The fourth proportional to 705.07, 970.73 and 564.67 is: 777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.07 : 970.73 = 564.67 : x
  2. Step 2: Convert to fraction form
    705.07/970.73 = 564.67/x
  3. Step 3: Cross multiply
    705.07x = 970.73 × 564.67
  4. Step 4: Simplify right side
    705.07x = 548,137.26
  5. Step 5: Solve for x
    x = 548,137.26/705.07
  6. Step 6: Final answer
    x = 777.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.