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Finding the Fourth Proportional to 664.41, 1,000.48 and 492.30

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Solution

The fourth proportional to 664.41, 1,000.48 and 492.30 is: 741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.41 : 1,000.48 = 492.30 : x
  2. Step 2: Convert to fraction form
    664.41/1,000.48 = 492.30/x
  3. Step 3: Cross multiply
    664.41x = 1,000.48 × 492.30
  4. Step 4: Simplify right side
    664.41x = 492,533.84
  5. Step 5: Solve for x
    x = 492,533.84/664.41
  6. Step 6: Final answer
    x = 741.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.