Home / 1,254.28-1,882.10-524.36

Finding the Fourth Proportional to 1,254.28, 1,882.10 and 524.36

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Solution

The fourth proportional to 1,254.28, 1,882.10 and 524.36 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.28 : 1,882.10 = 524.36 : x
  2. Step 2: Convert to fraction form
    1,254.28/1,882.10 = 524.36/x
  3. Step 3: Cross multiply
    1,254.28x = 1,882.10 × 524.36
  4. Step 4: Simplify right side
    1,254.28x = 986,897.96
  5. Step 5: Solve for x
    x = 986,897.96/1,254.28
  6. Step 6: Final answer
    x = 786.82

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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.