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Finding the Fourth Proportional to 1,317.71, 1,974.42 and 770.36

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Solution

The fourth proportional to 1,317.71, 1,974.42 and 770.36 is: 1,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.71 : 1,974.42 = 770.36 : x
  2. Step 2: Convert to fraction form
    1,317.71/1,974.42 = 770.36/x
  3. Step 3: Cross multiply
    1,317.71x = 1,974.42 × 770.36
  4. Step 4: Simplify right side
    1,317.71x = 1,521,014.19
  5. Step 5: Solve for x
    x = 1,521,014.19/1,317.71
  6. Step 6: Final answer
    x = 1,154.29

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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.