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Finding the Fourth Proportional to 670.14, 1,005.41 and 304.63

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Solution

The fourth proportional to 670.14, 1,005.41 and 304.63 is: 457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.14 : 1,005.41 = 304.63 : x
  2. Step 2: Convert to fraction form
    670.14/1,005.41 = 304.63/x
  3. Step 3: Cross multiply
    670.14x = 1,005.41 × 304.63
  4. Step 4: Simplify right side
    670.14x = 306,273.02
  5. Step 5: Solve for x
    x = 306,273.02/670.14
  6. Step 6: Final answer
    x = 457.03

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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.