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Finding the Fourth Proportional to 674.76, 1,011.80 and 309.23

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Solution

The fourth proportional to 674.76, 1,011.80 and 309.23 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 1,011.80 = 309.23 : x
  2. Step 2: Convert to fraction form
    674.76/1,011.80 = 309.23/x
  3. Step 3: Cross multiply
    674.76x = 1,011.80 × 309.23
  4. Step 4: Simplify right side
    674.76x = 312,883.24
  5. Step 5: Solve for x
    x = 312,883.24/674.76
  6. Step 6: Final answer
    x = 463.69

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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.