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Finding the Fourth Proportional to 855.16, 1,283.84 and 578.44

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Solution

The fourth proportional to 855.16, 1,283.84 and 578.44 is: 868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,283.84 = 578.44 : x
  2. Step 2: Convert to fraction form
    855.16/1,283.84 = 578.44/x
  3. Step 3: Cross multiply
    855.16x = 1,283.84 × 578.44
  4. Step 4: Simplify right side
    855.16x = 742,624.41
  5. Step 5: Solve for x
    x = 742,624.41/855.16
  6. Step 6: Final answer
    x = 868.40

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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.