Home / 1,288.16-1,932.50-547.77

Finding the Fourth Proportional to 1,288.16, 1,932.50 and 547.77

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Solution

The fourth proportional to 1,288.16, 1,932.50 and 547.77 is: 821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.16 : 1,932.50 = 547.77 : x
  2. Step 2: Convert to fraction form
    1,288.16/1,932.50 = 547.77/x
  3. Step 3: Cross multiply
    1,288.16x = 1,932.50 × 547.77
  4. Step 4: Simplify right side
    1,288.16x = 1,058,554.66
  5. Step 5: Solve for x
    x = 1,058,554.66/1,288.16
  6. Step 6: Final answer
    x = 821.76

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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.