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Finding the Fourth Proportional to 756.37, 1,042.23 and 608.41

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Solution

The fourth proportional to 756.37, 1,042.23 and 608.41 is: 838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.37 : 1,042.23 = 608.41 : x
  2. Step 2: Convert to fraction form
    756.37/1,042.23 = 608.41/x
  3. Step 3: Cross multiply
    756.37x = 1,042.23 × 608.41
  4. Step 4: Simplify right side
    756.37x = 634,103.15
  5. Step 5: Solve for x
    x = 634,103.15/756.37
  6. Step 6: Final answer
    x = 838.35

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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.