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Finding the Fourth Proportional to 995.29, 1,492.63 and 686.48

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Solution

The fourth proportional to 995.29, 1,492.63 and 686.48 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.29 : 1,492.63 = 686.48 : x
  2. Step 2: Convert to fraction form
    995.29/1,492.63 = 686.48/x
  3. Step 3: Cross multiply
    995.29x = 1,492.63 × 686.48
  4. Step 4: Simplify right side
    995.29x = 1,024,651.46
  5. Step 5: Solve for x
    x = 1,024,651.46/995.29
  6. Step 6: Final answer
    x = 1,029.50

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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.