Home / 1,530.48-2,295.78-914.61

Finding the Fourth Proportional to 1,530.48, 2,295.78 and 914.61

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Solution

The fourth proportional to 1,530.48, 2,295.78 and 914.61 is: 1,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.48 : 2,295.78 = 914.61 : x
  2. Step 2: Convert to fraction form
    1,530.48/2,295.78 = 914.61/x
  3. Step 3: Cross multiply
    1,530.48x = 2,295.78 × 914.61
  4. Step 4: Simplify right side
    1,530.48x = 2,099,743.35
  5. Step 5: Solve for x
    x = 2,099,743.35/1,530.48
  6. Step 6: Final answer
    x = 1,371.95

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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.