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Finding the Fourth Proportional to 674.99, 1,011.14 and 309.28

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Solution

The fourth proportional to 674.99, 1,011.14 and 309.28 is: 463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.99 : 1,011.14 = 309.28 : x
  2. Step 2: Convert to fraction form
    674.99/1,011.14 = 309.28/x
  3. Step 3: Cross multiply
    674.99x = 1,011.14 × 309.28
  4. Step 4: Simplify right side
    674.99x = 312,724.36
  5. Step 5: Solve for x
    x = 312,724.36/674.99
  6. Step 6: Final answer
    x = 463.30

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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.