Home / 1,264.18-1,896.28-442.45

Finding the Fourth Proportional to 1,264.18, 1,896.28 and 442.45

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Solution

The fourth proportional to 1,264.18, 1,896.28 and 442.45 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.18 : 1,896.28 = 442.45 : x
  2. Step 2: Convert to fraction form
    1,264.18/1,896.28 = 442.45/x
  3. Step 3: Cross multiply
    1,264.18x = 1,896.28 × 442.45
  4. Step 4: Simplify right side
    1,264.18x = 839,009.09
  5. Step 5: Solve for x
    x = 839,009.09/1,264.18
  6. Step 6: Final answer
    x = 663.68

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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.