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Finding the Fourth Proportional to 995.79, 1,493.70 and 766.17

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Solution

The fourth proportional to 995.79, 1,493.70 and 766.17 is: 1,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.79 : 1,493.70 = 766.17 : x
  2. Step 2: Convert to fraction form
    995.79/1,493.70 = 766.17/x
  3. Step 3: Cross multiply
    995.79x = 1,493.70 × 766.17
  4. Step 4: Simplify right side
    995.79x = 1,144,428.13
  5. Step 5: Solve for x
    x = 1,144,428.13/995.79
  6. Step 6: Final answer
    x = 1,149.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.