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Finding the Fourth Proportional to 650.09, 970.38 and 564.03

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Solution

The fourth proportional to 650.09, 970.38 and 564.03 is: 841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.09 : 970.38 = 564.03 : x
  2. Step 2: Convert to fraction form
    650.09/970.38 = 564.03/x
  3. Step 3: Cross multiply
    650.09x = 970.38 × 564.03
  4. Step 4: Simplify right side
    650.09x = 547,323.43
  5. Step 5: Solve for x
    x = 547,323.43/650.09
  6. Step 6: Final answer
    x = 841.93

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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.