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Finding the Fourth Proportional to 667.08, 1,000.54 and 277.24

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Solution

The fourth proportional to 667.08, 1,000.54 and 277.24 is: 415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 1,000.54 = 277.24 : x
  2. Step 2: Convert to fraction form
    667.08/1,000.54 = 277.24/x
  3. Step 3: Cross multiply
    667.08x = 1,000.54 × 277.24
  4. Step 4: Simplify right side
    667.08x = 277,389.71
  5. Step 5: Solve for x
    x = 277,389.71/667.08
  6. Step 6: Final answer
    x = 415.83

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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.