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Finding the Fourth Proportional to 650.21, 970.57 and 564.15

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Solution

The fourth proportional to 650.21, 970.57 and 564.15 is: 842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.21 : 970.57 = 564.15 : x
  2. Step 2: Convert to fraction form
    650.21/970.57 = 564.15/x
  3. Step 3: Cross multiply
    650.21x = 970.57 × 564.15
  4. Step 4: Simplify right side
    650.21x = 547,544.24
  5. Step 5: Solve for x
    x = 547,544.24/650.21
  6. Step 6: Final answer
    x = 842.10

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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.