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Finding the Fourth Proportional to 650.21, 978.98 and 573.66

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Solution

The fourth proportional to 650.21, 978.98 and 573.66 is: 863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.21 : 978.98 = 573.66 : x
  2. Step 2: Convert to fraction form
    650.21/978.98 = 573.66/x
  3. Step 3: Cross multiply
    650.21x = 978.98 × 573.66
  4. Step 4: Simplify right side
    650.21x = 561,598.80
  5. Step 5: Solve for x
    x = 561,598.80/650.21
  6. Step 6: Final answer
    x = 863.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.