Home / 1,317.85-1,977.92-538.28

Finding the Fourth Proportional to 1,317.85, 1,977.92 and 538.28

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Solution

The fourth proportional to 1,317.85, 1,977.92 and 538.28 is: 807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.85 : 1,977.92 = 538.28 : x
  2. Step 2: Convert to fraction form
    1,317.85/1,977.92 = 538.28/x
  3. Step 3: Cross multiply
    1,317.85x = 1,977.92 × 538.28
  4. Step 4: Simplify right side
    1,317.85x = 1,064,674.78
  5. Step 5: Solve for x
    x = 1,064,674.78/1,317.85
  6. Step 6: Final answer
    x = 807.89

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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.