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Finding the Fourth Proportional to 756.21, 1,133.10 and 431.40

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Solution

The fourth proportional to 756.21, 1,133.10 and 431.40 is: 646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.21 : 1,133.10 = 431.40 : x
  2. Step 2: Convert to fraction form
    756.21/1,133.10 = 431.40/x
  3. Step 3: Cross multiply
    756.21x = 1,133.10 × 431.40
  4. Step 4: Simplify right side
    756.21x = 488,819.34
  5. Step 5: Solve for x
    x = 488,819.34/756.21
  6. Step 6: Final answer
    x = 646.41

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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.