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Finding the Fourth Proportional to 855.14, 1,281.89 and 526.28

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Solution

The fourth proportional to 855.14, 1,281.89 and 526.28 is: 788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,281.89 = 526.28 : x
  2. Step 2: Convert to fraction form
    855.14/1,281.89 = 526.28/x
  3. Step 3: Cross multiply
    855.14x = 1,281.89 × 526.28
  4. Step 4: Simplify right side
    855.14x = 674,624.03
  5. Step 5: Solve for x
    x = 674,624.03/855.14
  6. Step 6: Final answer
    x = 788.91

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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.