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Finding the Fourth Proportional to 756.02, 1,132.32 and 673.94

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Solution

The fourth proportional to 756.02, 1,132.32 and 673.94 is: 1,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.02 : 1,132.32 = 673.94 : x
  2. Step 2: Convert to fraction form
    756.02/1,132.32 = 673.94/x
  3. Step 3: Cross multiply
    756.02x = 1,132.32 × 673.94
  4. Step 4: Simplify right side
    756.02x = 763,115.74
  5. Step 5: Solve for x
    x = 763,115.74/756.02
  6. Step 6: Final answer
    x = 1,009.39

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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.