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Finding the Fourth Proportional to 674.94, 1,011.45 and 385.78

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Solution

The fourth proportional to 674.94, 1,011.45 and 385.78 is: 578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.94 : 1,011.45 = 385.78 : x
  2. Step 2: Convert to fraction form
    674.94/1,011.45 = 385.78/x
  3. Step 3: Cross multiply
    674.94x = 1,011.45 × 385.78
  4. Step 4: Simplify right side
    674.94x = 390,197.18
  5. Step 5: Solve for x
    x = 390,197.18/674.94
  6. Step 6: Final answer
    x = 578.12

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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.