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Finding the Fourth Proportional to 1,595.09, 2,389.17 and 771.63

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Solution

The fourth proportional to 1,595.09, 2,389.17 and 771.63 is: 1,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.09 : 2,389.17 = 771.63 : x
  2. Step 2: Convert to fraction form
    1,595.09/2,389.17 = 771.63/x
  3. Step 3: Cross multiply
    1,595.09x = 2,389.17 × 771.63
  4. Step 4: Simplify right side
    1,595.09x = 1,843,555.25
  5. Step 5: Solve for x
    x = 1,843,555.25/1,595.09
  6. Step 6: Final answer
    x = 1,155.77

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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.