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Finding the Fourth Proportional to 1,165.68, 1,605.80 and 965.68

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Solution

The fourth proportional to 1,165.68, 1,605.80 and 965.68 is: 1,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.68 : 1,605.80 = 965.68 : x
  2. Step 2: Convert to fraction form
    1,165.68/1,605.80 = 965.68/x
  3. Step 3: Cross multiply
    1,165.68x = 1,605.80 × 965.68
  4. Step 4: Simplify right side
    1,165.68x = 1,550,688.94
  5. Step 5: Solve for x
    x = 1,550,688.94/1,165.68
  6. Step 6: Final answer
    x = 1,330.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.