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Finding the Fourth Proportional to 995.16, 1,371.56 and 948.98

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Solution

The fourth proportional to 995.16, 1,371.56 and 948.98 is: 1,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.16 : 1,371.56 = 948.98 : x
  2. Step 2: Convert to fraction form
    995.16/1,371.56 = 948.98/x
  3. Step 3: Cross multiply
    995.16x = 1,371.56 × 948.98
  4. Step 4: Simplify right side
    995.16x = 1,301,583.01
  5. Step 5: Solve for x
    x = 1,301,583.01/995.16
  6. Step 6: Final answer
    x = 1,307.91

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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.