Home / 1,587.21-2,380.50-491.31

Finding the Fourth Proportional to 1,587.21, 2,380.50 and 491.31

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Solution

The fourth proportional to 1,587.21, 2,380.50 and 491.31 is: 736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.21 : 2,380.50 = 491.31 : x
  2. Step 2: Convert to fraction form
    1,587.21/2,380.50 = 491.31/x
  3. Step 3: Cross multiply
    1,587.21x = 2,380.50 × 491.31
  4. Step 4: Simplify right side
    1,587.21x = 1,169,563.46
  5. Step 5: Solve for x
    x = 1,169,563.46/1,587.21
  6. Step 6: Final answer
    x = 736.87

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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.