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Finding the Fourth Proportional to 1,765.71, 2,646.23 and 777.87

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Solution

The fourth proportional to 1,765.71, 2,646.23 and 777.87 is: 1,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.71 : 2,646.23 = 777.87 : x
  2. Step 2: Convert to fraction form
    1,765.71/2,646.23 = 777.87/x
  3. Step 3: Cross multiply
    1,765.71x = 2,646.23 × 777.87
  4. Step 4: Simplify right side
    1,765.71x = 2,058,419.04
  5. Step 5: Solve for x
    x = 2,058,419.04/1,765.71
  6. Step 6: Final answer
    x = 1,165.77

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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.