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Finding the Fourth Proportional to 678.24, 1,016.32 and 495.36

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Solution

The fourth proportional to 678.24, 1,016.32 and 495.36 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.24 : 1,016.32 = 495.36 : x
  2. Step 2: Convert to fraction form
    678.24/1,016.32 = 495.36/x
  3. Step 3: Cross multiply
    678.24x = 1,016.32 × 495.36
  4. Step 4: Simplify right side
    678.24x = 503,444.28
  5. Step 5: Solve for x
    x = 503,444.28/678.24
  6. Step 6: Final answer
    x = 742.28

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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.