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Finding the Fourth Proportional to 673.91, 1,011.24 and 263.07

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Solution

The fourth proportional to 673.91, 1,011.24 and 263.07 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.91 : 1,011.24 = 263.07 : x
  2. Step 2: Convert to fraction form
    673.91/1,011.24 = 263.07/x
  3. Step 3: Cross multiply
    673.91x = 1,011.24 × 263.07
  4. Step 4: Simplify right side
    673.91x = 266,026.91
  5. Step 5: Solve for x
    x = 266,026.91/673.91
  6. Step 6: Final answer
    x = 394.75

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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.