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Finding the Fourth Proportional to 965.98, 1,448.94 and 810.46

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Solution

The fourth proportional to 965.98, 1,448.94 and 810.46 is: 1,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,448.94 = 810.46 : x
  2. Step 2: Convert to fraction form
    965.98/1,448.94 = 810.46/x
  3. Step 3: Cross multiply
    965.98x = 1,448.94 × 810.46
  4. Step 4: Simplify right side
    965.98x = 1,174,307.91
  5. Step 5: Solve for x
    x = 1,174,307.91/965.98
  6. Step 6: Final answer
    x = 1,215.66

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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.