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Finding the Fourth Proportional to 650.58, 968.57 and 647.34

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Solution

The fourth proportional to 650.58, 968.57 and 647.34 is: 963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.58 : 968.57 = 647.34 : x
  2. Step 2: Convert to fraction form
    650.58/968.57 = 647.34/x
  3. Step 3: Cross multiply
    650.58x = 968.57 × 647.34
  4. Step 4: Simplify right side
    650.58x = 626,990.87
  5. Step 5: Solve for x
    x = 626,990.87/650.58
  6. Step 6: Final answer
    x = 963.74

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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.