Home / 1,025.09-1,538.13-477.14

Finding the Fourth Proportional to 1,025.09, 1,538.13 and 477.14

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Solution

The fourth proportional to 1,025.09, 1,538.13 and 477.14 is: 715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.09 : 1,538.13 = 477.14 : x
  2. Step 2: Convert to fraction form
    1,025.09/1,538.13 = 477.14/x
  3. Step 3: Cross multiply
    1,025.09x = 1,538.13 × 477.14
  4. Step 4: Simplify right side
    1,025.09x = 733,895.66
  5. Step 5: Solve for x
    x = 733,895.66/1,025.09
  6. Step 6: Final answer
    x = 715.94

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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.