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Finding the Fourth Proportional to 650.19, 978.96 and 573.63

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Solution

The fourth proportional to 650.19, 978.96 and 573.63 is: 863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.19 : 978.96 = 573.63 : x
  2. Step 2: Convert to fraction form
    650.19/978.96 = 573.63/x
  3. Step 3: Cross multiply
    650.19x = 978.96 × 573.63
  4. Step 4: Simplify right side
    650.19x = 561,560.82
  5. Step 5: Solve for x
    x = 561,560.82/650.19
  6. Step 6: Final answer
    x = 863.69

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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.