Home / 1,285.52-1,927.87-463.68

Finding the Fourth Proportional to 1,285.52, 1,927.87 and 463.68

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Solution

The fourth proportional to 1,285.52, 1,927.87 and 463.68 is: 695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.52 : 1,927.87 = 463.68 : x
  2. Step 2: Convert to fraction form
    1,285.52/1,927.87 = 463.68/x
  3. Step 3: Cross multiply
    1,285.52x = 1,927.87 × 463.68
  4. Step 4: Simplify right side
    1,285.52x = 893,914.76
  5. Step 5: Solve for x
    x = 893,914.76/1,285.52
  6. Step 6: Final answer
    x = 695.37

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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.