Home / 1,587.28-2,380.98-491.62

Finding the Fourth Proportional to 1,587.28, 2,380.98 and 491.62

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Solution

The fourth proportional to 1,587.28, 2,380.98 and 491.62 is: 737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.28 : 2,380.98 = 491.62 : x
  2. Step 2: Convert to fraction form
    1,587.28/2,380.98 = 491.62/x
  3. Step 3: Cross multiply
    1,587.28x = 2,380.98 × 491.62
  4. Step 4: Simplify right side
    1,587.28x = 1,170,537.39
  5. Step 5: Solve for x
    x = 1,170,537.39/1,587.28
  6. Step 6: Final answer
    x = 737.45

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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.