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Finding the Fourth Proportional to 968.46, 1,336.60 and 614.55

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Solution

The fourth proportional to 968.46, 1,336.60 and 614.55 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.46 : 1,336.60 = 614.55 : x
  2. Step 2: Convert to fraction form
    968.46/1,336.60 = 614.55/x
  3. Step 3: Cross multiply
    968.46x = 1,336.60 × 614.55
  4. Step 4: Simplify right side
    968.46x = 821,407.53
  5. Step 5: Solve for x
    x = 821,407.53/968.46
  6. Step 6: Final answer
    x = 848.16

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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.