Home / 1,317.82-1,977.30-538.38

Finding the Fourth Proportional to 1,317.82, 1,977.30 and 538.38

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Solution

The fourth proportional to 1,317.82, 1,977.30 and 538.38 is: 807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.82 : 1,977.30 = 538.38 : x
  2. Step 2: Convert to fraction form
    1,317.82/1,977.30 = 538.38/x
  3. Step 3: Cross multiply
    1,317.82x = 1,977.30 × 538.38
  4. Step 4: Simplify right side
    1,317.82x = 1,064,538.77
  5. Step 5: Solve for x
    x = 1,064,538.77/1,317.82
  6. Step 6: Final answer
    x = 807.80

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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.