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Finding the Fourth Proportional to 855.76, 1,284.16 and 368.80

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Solution

The fourth proportional to 855.76, 1,284.16 and 368.80 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.76 : 1,284.16 = 368.80 : x
  2. Step 2: Convert to fraction form
    855.76/1,284.16 = 368.80/x
  3. Step 3: Cross multiply
    855.76x = 1,284.16 × 368.80
  4. Step 4: Simplify right side
    855.76x = 473,598.21
  5. Step 5: Solve for x
    x = 473,598.21/855.76
  6. Step 6: Final answer
    x = 553.42

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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.