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Finding the Fourth Proportional to 882.05, 1,214.51 and 770.85

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Solution

The fourth proportional to 882.05, 1,214.51 and 770.85 is: 1,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.05 : 1,214.51 = 770.85 : x
  2. Step 2: Convert to fraction form
    882.05/1,214.51 = 770.85/x
  3. Step 3: Cross multiply
    882.05x = 1,214.51 × 770.85
  4. Step 4: Simplify right side
    882.05x = 936,201.18
  5. Step 5: Solve for x
    x = 936,201.18/882.05
  6. Step 6: Final answer
    x = 1,061.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.