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Finding the Fourth Proportional to 1,262.03, 1,742.04 and 765.09

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Solution

The fourth proportional to 1,262.03, 1,742.04 and 765.09 is: 1,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.03 : 1,742.04 = 765.09 : x
  2. Step 2: Convert to fraction form
    1,262.03/1,742.04 = 765.09/x
  3. Step 3: Cross multiply
    1,262.03x = 1,742.04 × 765.09
  4. Step 4: Simplify right side
    1,262.03x = 1,332,817.38
  5. Step 5: Solve for x
    x = 1,332,817.38/1,262.03
  6. Step 6: Final answer
    x = 1,056.09

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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.