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Finding the Fourth Proportional to 756.77, 1,133.33 and 431.15

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Solution

The fourth proportional to 756.77, 1,133.33 and 431.15 is: 645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,133.33 = 431.15 : x
  2. Step 2: Convert to fraction form
    756.77/1,133.33 = 431.15/x
  3. Step 3: Cross multiply
    756.77x = 1,133.33 × 431.15
  4. Step 4: Simplify right side
    756.77x = 488,627.41
  5. Step 5: Solve for x
    x = 488,627.41/756.77
  6. Step 6: Final answer
    x = 645.68

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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.