Home / 1,152.20-1,727.35-458.57

Finding the Fourth Proportional to 1,152.20, 1,727.35 and 458.57

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Solution

The fourth proportional to 1,152.20, 1,727.35 and 458.57 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.20 : 1,727.35 = 458.57 : x
  2. Step 2: Convert to fraction form
    1,152.20/1,727.35 = 458.57/x
  3. Step 3: Cross multiply
    1,152.20x = 1,727.35 × 458.57
  4. Step 4: Simplify right side
    1,152.20x = 792,110.89
  5. Step 5: Solve for x
    x = 792,110.89/1,152.20
  6. Step 6: Final answer
    x = 687.48

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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.