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Finding the Fourth Proportional to 672.84, 1,011.12 and 490.44

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Solution

The fourth proportional to 672.84, 1,011.12 and 490.44 is: 737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.84 : 1,011.12 = 490.44 : x
  2. Step 2: Convert to fraction form
    672.84/1,011.12 = 490.44/x
  3. Step 3: Cross multiply
    672.84x = 1,011.12 × 490.44
  4. Step 4: Simplify right side
    672.84x = 495,893.69
  5. Step 5: Solve for x
    x = 495,893.69/672.84
  6. Step 6: Final answer
    x = 737.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.