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Finding the Fourth Proportional to 1,312.17, 1,969.20 and 763.80

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Solution

The fourth proportional to 1,312.17, 1,969.20 and 763.80 is: 1,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.17 : 1,969.20 = 763.80 : x
  2. Step 2: Convert to fraction form
    1,312.17/1,969.20 = 763.80/x
  3. Step 3: Cross multiply
    1,312.17x = 1,969.20 × 763.80
  4. Step 4: Simplify right side
    1,312.17x = 1,504,074.96
  5. Step 5: Solve for x
    x = 1,504,074.96/1,312.17
  6. Step 6: Final answer
    x = 1,146.25

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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.