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Finding the Fourth Proportional to 995.03, 1,490.26 and 774.51

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Solution

The fourth proportional to 995.03, 1,490.26 and 774.51 is: 1,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.03 : 1,490.26 = 774.51 : x
  2. Step 2: Convert to fraction form
    995.03/1,490.26 = 774.51/x
  3. Step 3: Cross multiply
    995.03x = 1,490.26 × 774.51
  4. Step 4: Simplify right side
    995.03x = 1,154,221.27
  5. Step 5: Solve for x
    x = 1,154,221.27/995.03
  6. Step 6: Final answer
    x = 1,159.99

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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.