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Finding the Fourth Proportional to 968, 1,336.94 and 656.96

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Solution

The fourth proportional to 968, 1,336.94 and 656.96 is: 907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    968 : 1,336.94 = 656.96 : x
  2. Step 2: Convert to fraction form
    968/1,336.94 = 656.96/x
  3. Step 3: Cross multiply
    968x = 1,336.94 × 656.96
  4. Step 4: Simplify right side
    968x = 878,316.10
  5. Step 5: Solve for x
    x = 878,316.10/968
  6. Step 6: Final answer
    x = 907.35

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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.