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Finding the Fourth Proportional to 756.03, 1,043.20 and 475.78

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Solution

The fourth proportional to 756.03, 1,043.20 and 475.78 is: 656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.03 : 1,043.20 = 475.78 : x
  2. Step 2: Convert to fraction form
    756.03/1,043.20 = 475.78/x
  3. Step 3: Cross multiply
    756.03x = 1,043.20 × 475.78
  4. Step 4: Simplify right side
    756.03x = 496,326.10
  5. Step 5: Solve for x
    x = 496,326.10/756.03
  6. Step 6: Final answer
    x = 656.49

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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.