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Finding the Fourth Proportional to 887.09, 1,330.70 and 778.14

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Solution

The fourth proportional to 887.09, 1,330.70 and 778.14 is: 1,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.09 : 1,330.70 = 778.14 : x
  2. Step 2: Convert to fraction form
    887.09/1,330.70 = 778.14/x
  3. Step 3: Cross multiply
    887.09x = 1,330.70 × 778.14
  4. Step 4: Simplify right side
    887.09x = 1,035,467.01
  5. Step 5: Solve for x
    x = 1,035,467.01/887.09
  6. Step 6: Final answer
    x = 1,167.27

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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.