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Finding the Fourth Proportional to 544.16, 749.30 and 492.06

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Solution

The fourth proportional to 544.16, 749.30 and 492.06 is: 677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 749.30 = 492.06 : x
  2. Step 2: Convert to fraction form
    544.16/749.30 = 492.06/x
  3. Step 3: Cross multiply
    544.16x = 749.30 × 492.06
  4. Step 4: Simplify right side
    544.16x = 368,695.29
  5. Step 5: Solve for x
    x = 368,695.29/544.16
  6. Step 6: Final answer
    x = 677.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.