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Finding the Fourth Proportional to 678.23, 936.22 and 512.38

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Solution

The fourth proportional to 678.23, 936.22 and 512.38 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 936.22 = 512.38 : x
  2. Step 2: Convert to fraction form
    678.23/936.22 = 512.38/x
  3. Step 3: Cross multiply
    678.23x = 936.22 × 512.38
  4. Step 4: Simplify right side
    678.23x = 479,700.40
  5. Step 5: Solve for x
    x = 479,700.40/678.23
  6. Step 6: Final answer
    x = 707.28

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1.5x scale

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.