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Finding the Fourth Proportional to 670.32, 1,004.09 and 322.63

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Solution

The fourth proportional to 670.32, 1,004.09 and 322.63 is: 483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.32 : 1,004.09 = 322.63 : x
  2. Step 2: Convert to fraction form
    670.32/1,004.09 = 322.63/x
  3. Step 3: Cross multiply
    670.32x = 1,004.09 × 322.63
  4. Step 4: Simplify right side
    670.32x = 323,947.85
  5. Step 5: Solve for x
    x = 323,947.85/670.32
  6. Step 6: Final answer
    x = 483.27

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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.