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Finding the Fourth Proportional to 678.29, 1,015.85 and 495.23

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Solution

The fourth proportional to 678.29, 1,015.85 and 495.23 is: 741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.29 : 1,015.85 = 495.23 : x
  2. Step 2: Convert to fraction form
    678.29/1,015.85 = 495.23/x
  3. Step 3: Cross multiply
    678.29x = 1,015.85 × 495.23
  4. Step 4: Simplify right side
    678.29x = 503,071.84
  5. Step 5: Solve for x
    x = 503,071.84/678.29
  6. Step 6: Final answer
    x = 741.68

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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.