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Finding the Fourth Proportional to 887.76, 1,330.02 and 765.45

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Solution

The fourth proportional to 887.76, 1,330.02 and 765.45 is: 1,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.76 : 1,330.02 = 765.45 : x
  2. Step 2: Convert to fraction form
    887.76/1,330.02 = 765.45/x
  3. Step 3: Cross multiply
    887.76x = 1,330.02 × 765.45
  4. Step 4: Simplify right side
    887.76x = 1,018,063.81
  5. Step 5: Solve for x
    x = 1,018,063.81/887.76
  6. Step 6: Final answer
    x = 1,146.78

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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.