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Finding the Fourth Proportional to 968.95, 1,336.47 and 684.91

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Solution

The fourth proportional to 968.95, 1,336.47 and 684.91 is: 944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.95 : 1,336.47 = 684.91 : x
  2. Step 2: Convert to fraction form
    968.95/1,336.47 = 684.91/x
  3. Step 3: Cross multiply
    968.95x = 1,336.47 × 684.91
  4. Step 4: Simplify right side
    968.95x = 915,361.67
  5. Step 5: Solve for x
    x = 915,361.67/968.95
  6. Step 6: Final answer
    x = 944.69

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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.