Home / 1,159.14-1,739.10-509.92

Finding the Fourth Proportional to 1,159.14, 1,739.10 and 509.92

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Solution

The fourth proportional to 1,159.14, 1,739.10 and 509.92 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.14 : 1,739.10 = 509.92 : x
  2. Step 2: Convert to fraction form
    1,159.14/1,739.10 = 509.92/x
  3. Step 3: Cross multiply
    1,159.14x = 1,739.10 × 509.92
  4. Step 4: Simplify right side
    1,159.14x = 886,801.87
  5. Step 5: Solve for x
    x = 886,801.87/1,159.14
  6. Step 6: Final answer
    x = 765.05

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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.