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Finding the Fourth Proportional to 670.09, 1,005.61 and 299.99

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Solution

The fourth proportional to 670.09, 1,005.61 and 299.99 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.09 : 1,005.61 = 299.99 : x
  2. Step 2: Convert to fraction form
    670.09/1,005.61 = 299.99/x
  3. Step 3: Cross multiply
    670.09x = 1,005.61 × 299.99
  4. Step 4: Simplify right side
    670.09x = 301,671.50
  5. Step 5: Solve for x
    x = 301,671.50/670.09
  6. Step 6: Final answer
    x = 450.19

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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.