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Finding the Fourth Proportional to 965.18, 1,445.26 and 884.98

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Solution

The fourth proportional to 965.18, 1,445.26 and 884.98 is: 1,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.18 : 1,445.26 = 884.98 : x
  2. Step 2: Convert to fraction form
    965.18/1,445.26 = 884.98/x
  3. Step 3: Cross multiply
    965.18x = 1,445.26 × 884.98
  4. Step 4: Simplify right side
    965.18x = 1,279,026.19
  5. Step 5: Solve for x
    x = 1,279,026.19/965.18
  6. Step 6: Final answer
    x = 1,325.17

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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.