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Finding the Fourth Proportional to 756.82, 1,044.70 and 477.00

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Solution

The fourth proportional to 756.82, 1,044.70 and 477.00 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.82 : 1,044.70 = 477.00 : x
  2. Step 2: Convert to fraction form
    756.82/1,044.70 = 477.00/x
  3. Step 3: Cross multiply
    756.82x = 1,044.70 × 477.00
  4. Step 4: Simplify right side
    756.82x = 498,320.90
  5. Step 5: Solve for x
    x = 498,320.90/756.82
  6. Step 6: Final answer
    x = 658.44

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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.