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Finding the Fourth Proportional to 957.09, 1,434.96 and 469.83

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Solution

The fourth proportional to 957.09, 1,434.96 and 469.83 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.09 : 1,434.96 = 469.83 : x
  2. Step 2: Convert to fraction form
    957.09/1,434.96 = 469.83/x
  3. Step 3: Cross multiply
    957.09x = 1,434.96 × 469.83
  4. Step 4: Simplify right side
    957.09x = 674,187.26
  5. Step 5: Solve for x
    x = 674,187.26/957.09
  6. Step 6: Final answer
    x = 704.41

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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.