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Finding the Fourth Proportional to 1,292.76, 1,784.14 and 761.81

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Solution

The fourth proportional to 1,292.76, 1,784.14 and 761.81 is: 1,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.76 : 1,784.14 = 761.81 : x
  2. Step 2: Convert to fraction form
    1,292.76/1,784.14 = 761.81/x
  3. Step 3: Cross multiply
    1,292.76x = 1,784.14 × 761.81
  4. Step 4: Simplify right side
    1,292.76x = 1,359,175.88
  5. Step 5: Solve for x
    x = 1,359,175.88/1,292.76
  6. Step 6: Final answer
    x = 1,051.37

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Double scale
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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.