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Finding the Fourth Proportional to 1,265.13, 1,898.56 and 776.69

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Solution

The fourth proportional to 1,265.13, 1,898.56 and 776.69 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.13 : 1,898.56 = 776.69 : x
  2. Step 2: Convert to fraction form
    1,265.13/1,898.56 = 776.69/x
  3. Step 3: Cross multiply
    1,265.13x = 1,898.56 × 776.69
  4. Step 4: Simplify right side
    1,265.13x = 1,474,588.68
  5. Step 5: Solve for x
    x = 1,474,588.68/1,265.13
  6. Step 6: Final answer
    x = 1,165.56

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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.