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Finding the Fourth Proportional to 995.51, 1,492.56 and 722.13

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Solution

The fourth proportional to 995.51, 1,492.56 and 722.13 is: 1,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.51 : 1,492.56 = 722.13 : x
  2. Step 2: Convert to fraction form
    995.51/1,492.56 = 722.13/x
  3. Step 3: Cross multiply
    995.51x = 1,492.56 × 722.13
  4. Step 4: Simplify right side
    995.51x = 1,077,822.35
  5. Step 5: Solve for x
    x = 1,077,822.35/995.51
  6. Step 6: Final answer
    x = 1,082.69

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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.