Home / 1,158.58-1,738.50-465.76

Finding the Fourth Proportional to 1,158.58, 1,738.50 and 465.76

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Solution

The fourth proportional to 1,158.58, 1,738.50 and 465.76 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.58 : 1,738.50 = 465.76 : x
  2. Step 2: Convert to fraction form
    1,158.58/1,738.50 = 465.76/x
  3. Step 3: Cross multiply
    1,158.58x = 1,738.50 × 465.76
  4. Step 4: Simplify right side
    1,158.58x = 809,723.76
  5. Step 5: Solve for x
    x = 809,723.76/1,158.58
  6. Step 6: Final answer
    x = 698.89

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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.