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Finding the Fourth Proportional to 675.32, 1,011.75 and 284.61

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Solution

The fourth proportional to 675.32, 1,011.75 and 284.61 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.32 : 1,011.75 = 284.61 : x
  2. Step 2: Convert to fraction form
    675.32/1,011.75 = 284.61/x
  3. Step 3: Cross multiply
    675.32x = 1,011.75 × 284.61
  4. Step 4: Simplify right side
    675.32x = 287,954.17
  5. Step 5: Solve for x
    x = 287,954.17/675.32
  6. Step 6: Final answer
    x = 426.40

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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.