Home / 1,032.24-1,548.40-262.76

Finding the Fourth Proportional to 1,032.24, 1,548.40 and 262.76

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Solution

The fourth proportional to 1,032.24, 1,548.40 and 262.76 is: 394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.24 : 1,548.40 = 262.76 : x
  2. Step 2: Convert to fraction form
    1,032.24/1,548.40 = 262.76/x
  3. Step 3: Cross multiply
    1,032.24x = 1,548.40 × 262.76
  4. Step 4: Simplify right side
    1,032.24x = 406,857.58
  5. Step 5: Solve for x
    x = 406,857.58/1,032.24
  6. Step 6: Final answer
    x = 394.15

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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.