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Finding the Fourth Proportional to 855.61, 1,283.60 and 307.96

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Solution

The fourth proportional to 855.61, 1,283.60 and 307.96 is: 462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.61 : 1,283.60 = 307.96 : x
  2. Step 2: Convert to fraction form
    855.61/1,283.60 = 307.96/x
  3. Step 3: Cross multiply
    855.61x = 1,283.60 × 307.96
  4. Step 4: Simplify right side
    855.61x = 395,297.46
  5. Step 5: Solve for x
    x = 395,297.46/855.61
  6. Step 6: Final answer
    x = 462.01

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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.