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Finding the Fourth Proportional to 674.42, 1,011.54 and 289.76

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Solution

The fourth proportional to 674.42, 1,011.54 and 289.76 is: 434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 1,011.54 = 289.76 : x
  2. Step 2: Convert to fraction form
    674.42/1,011.54 = 289.76/x
  3. Step 3: Cross multiply
    674.42x = 1,011.54 × 289.76
  4. Step 4: Simplify right side
    674.42x = 293,103.83
  5. Step 5: Solve for x
    x = 293,103.83/674.42
  6. Step 6: Final answer
    x = 434.60

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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.