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Finding the Fourth Proportional to 875.43, 1,207.74 and 764.91

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Solution

The fourth proportional to 875.43, 1,207.74 and 764.91 is: 1,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.43 : 1,207.74 = 764.91 : x
  2. Step 2: Convert to fraction form
    875.43/1,207.74 = 764.91/x
  3. Step 3: Cross multiply
    875.43x = 1,207.74 × 764.91
  4. Step 4: Simplify right side
    875.43x = 923,806.36
  5. Step 5: Solve for x
    x = 923,806.36/875.43
  6. Step 6: Final answer
    x = 1,055.27

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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.