Home / 1,159.50-1,738.85-465.99

Finding the Fourth Proportional to 1,159.50, 1,738.85 and 465.99

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Solution

The fourth proportional to 1,159.50, 1,738.85 and 465.99 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.50 : 1,738.85 = 465.99 : x
  2. Step 2: Convert to fraction form
    1,159.50/1,738.85 = 465.99/x
  3. Step 3: Cross multiply
    1,159.50x = 1,738.85 × 465.99
  4. Step 4: Simplify right side
    1,159.50x = 810,280.48
  5. Step 5: Solve for x
    x = 810,280.48/1,159.50
  6. Step 6: Final answer
    x = 698.82

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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.