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Finding the Fourth Proportional to 975.80, 1,346.86 and 644.60

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Solution

The fourth proportional to 975.80, 1,346.86 and 644.60 is: 889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,346.86 = 644.60 : x
  2. Step 2: Convert to fraction form
    975.80/1,346.86 = 644.60/x
  3. Step 3: Cross multiply
    975.80x = 1,346.86 × 644.60
  4. Step 4: Simplify right side
    975.80x = 868,185.96
  5. Step 5: Solve for x
    x = 868,185.96/975.80
  6. Step 6: Final answer
    x = 889.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.