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Finding the Fourth Proportional to 1,262.77, 1,742.84 and 765.83

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Solution

The fourth proportional to 1,262.77, 1,742.84 and 765.83 is: 1,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.77 : 1,742.84 = 765.83 : x
  2. Step 2: Convert to fraction form
    1,262.77/1,742.84 = 765.83/x
  3. Step 3: Cross multiply
    1,262.77x = 1,742.84 × 765.83
  4. Step 4: Simplify right side
    1,262.77x = 1,334,719.16
  5. Step 5: Solve for x
    x = 1,334,719.16/1,262.77
  6. Step 6: Final answer
    x = 1,056.98

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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.