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Finding the Fourth Proportional to 953.09, 1,421.85 and 926.63

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Solution

The fourth proportional to 953.09, 1,421.85 and 926.63 is: 1,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.09 : 1,421.85 = 926.63 : x
  2. Step 2: Convert to fraction form
    953.09/1,421.85 = 926.63/x
  3. Step 3: Cross multiply
    953.09x = 1,421.85 × 926.63
  4. Step 4: Simplify right side
    953.09x = 1,317,528.87
  5. Step 5: Solve for x
    x = 1,317,528.87/953.09
  6. Step 6: Final answer
    x = 1,382.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.