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Finding the Fourth Proportional to 855.07, 1,281.04 and 769.53

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Solution

The fourth proportional to 855.07, 1,281.04 and 769.53 is: 1,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.07 : 1,281.04 = 769.53 : x
  2. Step 2: Convert to fraction form
    855.07/1,281.04 = 769.53/x
  3. Step 3: Cross multiply
    855.07x = 1,281.04 × 769.53
  4. Step 4: Simplify right side
    855.07x = 985,798.71
  5. Step 5: Solve for x
    x = 985,798.71/855.07
  6. Step 6: Final answer
    x = 1,152.89

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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.