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Finding the Fourth Proportional to 995.03, 1,489.77 and 647.50

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Solution

The fourth proportional to 995.03, 1,489.77 and 647.50 is: 969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.03 : 1,489.77 = 647.50 : x
  2. Step 2: Convert to fraction form
    995.03/1,489.77 = 647.50/x
  3. Step 3: Cross multiply
    995.03x = 1,489.77 × 647.50
  4. Step 4: Simplify right side
    995.03x = 964,622.35
  5. Step 5: Solve for x
    x = 964,622.35/995.03
  6. Step 6: Final answer
    x = 969.44

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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.