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Finding the Fourth Proportional to 995.64, 1,374.35 and 712.41

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Solution

The fourth proportional to 995.64, 1,374.35 and 712.41 is: 983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.64 : 1,374.35 = 712.41 : x
  2. Step 2: Convert to fraction form
    995.64/1,374.35 = 712.41/x
  3. Step 3: Cross multiply
    995.64x = 1,374.35 × 712.41
  4. Step 4: Simplify right side
    995.64x = 979,097.12
  5. Step 5: Solve for x
    x = 979,097.12/995.64
  6. Step 6: Final answer
    x = 983.38

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1.5x scale

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.