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Finding the Fourth Proportional to 873.13, 1,309.20 and 770.62

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Solution

The fourth proportional to 873.13, 1,309.20 and 770.62 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.13 : 1,309.20 = 770.62 : x
  2. Step 2: Convert to fraction form
    873.13/1,309.20 = 770.62/x
  3. Step 3: Cross multiply
    873.13x = 1,309.20 × 770.62
  4. Step 4: Simplify right side
    873.13x = 1,008,895.70
  5. Step 5: Solve for x
    x = 1,008,895.70/873.13
  6. Step 6: Final answer
    x = 1,155.49

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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.