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Finding the Fourth Proportional to 756.02, 1,043.04 and 494.19

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Solution

The fourth proportional to 756.02, 1,043.04 and 494.19 is: 681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.02 : 1,043.04 = 494.19 : x
  2. Step 2: Convert to fraction form
    756.02/1,043.04 = 494.19/x
  3. Step 3: Cross multiply
    756.02x = 1,043.04 × 494.19
  4. Step 4: Simplify right side
    756.02x = 515,461.79
  5. Step 5: Solve for x
    x = 515,461.79/756.02
  6. Step 6: Final answer
    x = 681.81

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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.