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Finding the Fourth Proportional to 995.41, 1,486.40 and 813.16

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Solution

The fourth proportional to 995.41, 1,486.40 and 813.16 is: 1,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.41 : 1,486.40 = 813.16 : x
  2. Step 2: Convert to fraction form
    995.41/1,486.40 = 813.16/x
  3. Step 3: Cross multiply
    995.41x = 1,486.40 × 813.16
  4. Step 4: Simplify right side
    995.41x = 1,208,681.02
  5. Step 5: Solve for x
    x = 1,208,681.02/995.41
  6. Step 6: Final answer
    x = 1,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.