Home / 1,285.06-1,927.75-463.12

Finding the Fourth Proportional to 1,285.06, 1,927.75 and 463.12

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Solution

The fourth proportional to 1,285.06, 1,927.75 and 463.12 is: 694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.06 : 1,927.75 = 463.12 : x
  2. Step 2: Convert to fraction form
    1,285.06/1,927.75 = 463.12/x
  3. Step 3: Cross multiply
    1,285.06x = 1,927.75 × 463.12
  4. Step 4: Simplify right side
    1,285.06x = 892,779.58
  5. Step 5: Solve for x
    x = 892,779.58/1,285.06
  6. Step 6: Final answer
    x = 694.74

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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.