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Finding the Fourth Proportional to 756.11, 1,042.46 and 490.08

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Solution

The fourth proportional to 756.11, 1,042.46 and 490.08 is: 675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.11 : 1,042.46 = 490.08 : x
  2. Step 2: Convert to fraction form
    756.11/1,042.46 = 490.08/x
  3. Step 3: Cross multiply
    756.11x = 1,042.46 × 490.08
  4. Step 4: Simplify right side
    756.11x = 510,888.80
  5. Step 5: Solve for x
    x = 510,888.80/756.11
  6. Step 6: Final answer
    x = 675.68

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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.