Home / 1,018.14-1,526.94-287.76

Finding the Fourth Proportional to 1,018.14, 1,526.94 and 287.76

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Solution

The fourth proportional to 1,018.14, 1,526.94 and 287.76 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.14 : 1,526.94 = 287.76 : x
  2. Step 2: Convert to fraction form
    1,018.14/1,526.94 = 287.76/x
  3. Step 3: Cross multiply
    1,018.14x = 1,526.94 × 287.76
  4. Step 4: Simplify right side
    1,018.14x = 439,392.25
  5. Step 5: Solve for x
    x = 439,392.25/1,018.14
  6. Step 6: Final answer
    x = 431.56

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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.