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Finding the Fourth Proportional to 995.76, 1,495.70 and 763.86

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Solution

The fourth proportional to 995.76, 1,495.70 and 763.86 is: 1,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.76 : 1,495.70 = 763.86 : x
  2. Step 2: Convert to fraction form
    995.76/1,495.70 = 763.86/x
  3. Step 3: Cross multiply
    995.76x = 1,495.70 × 763.86
  4. Step 4: Simplify right side
    995.76x = 1,142,501.58
  5. Step 5: Solve for x
    x = 1,142,501.58/995.76
  6. Step 6: Final answer
    x = 1,147.37

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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.