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Finding the Fourth Proportional to 946.53, 1,424.82 and 674.51

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Solution

The fourth proportional to 946.53, 1,424.82 and 674.51 is: 1,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.53 : 1,424.82 = 674.51 : x
  2. Step 2: Convert to fraction form
    946.53/1,424.82 = 674.51/x
  3. Step 3: Cross multiply
    946.53x = 1,424.82 × 674.51
  4. Step 4: Simplify right side
    946.53x = 961,048.21
  5. Step 5: Solve for x
    x = 961,048.21/946.53
  6. Step 6: Final answer
    x = 1,015.34

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Double scale
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1.5x scale

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.