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Finding the Fourth Proportional to 1,005.23, 1,507.77 and 311.88

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Solution

The fourth proportional to 1,005.23, 1,507.77 and 311.88 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.23 : 1,507.77 = 311.88 : x
  2. Step 2: Convert to fraction form
    1,005.23/1,507.77 = 311.88/x
  3. Step 3: Cross multiply
    1,005.23x = 1,507.77 × 311.88
  4. Step 4: Simplify right side
    1,005.23x = 470,241.76
  5. Step 5: Solve for x
    x = 470,241.76/1,005.23
  6. Step 6: Final answer
    x = 467.80

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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.