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Finding the Fourth Proportional to 953.71, 1,309.10 and 846.43

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Solution

The fourth proportional to 953.71, 1,309.10 and 846.43 is: 1,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.71 : 1,309.10 = 846.43 : x
  2. Step 2: Convert to fraction form
    953.71/1,309.10 = 846.43/x
  3. Step 3: Cross multiply
    953.71x = 1,309.10 × 846.43
  4. Step 4: Simplify right side
    953.71x = 1,108,054.01
  5. Step 5: Solve for x
    x = 1,108,054.01/953.71
  6. Step 6: Final answer
    x = 1,161.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.