Home / 1,159.29-1,739.01-465.87

Finding the Fourth Proportional to 1,159.29, 1,739.01 and 465.87

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Solution

The fourth proportional to 1,159.29, 1,739.01 and 465.87 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.29 : 1,739.01 = 465.87 : x
  2. Step 2: Convert to fraction form
    1,159.29/1,739.01 = 465.87/x
  3. Step 3: Cross multiply
    1,159.29x = 1,739.01 × 465.87
  4. Step 4: Simplify right side
    1,159.29x = 810,152.59
  5. Step 5: Solve for x
    x = 810,152.59/1,159.29
  6. Step 6: Final answer
    x = 698.84

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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.