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Finding the Fourth Proportional to 1,302.70, 1,954.58 and 783.76

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Solution

The fourth proportional to 1,302.70, 1,954.58 and 783.76 is: 1,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.70 : 1,954.58 = 783.76 : x
  2. Step 2: Convert to fraction form
    1,302.70/1,954.58 = 783.76/x
  3. Step 3: Cross multiply
    1,302.70x = 1,954.58 × 783.76
  4. Step 4: Simplify right side
    1,302.70x = 1,531,921.62
  5. Step 5: Solve for x
    x = 1,531,921.62/1,302.70
  6. Step 6: Final answer
    x = 1,175.96

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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.