Home / 1,587.29-2,381.40-491.73

Finding the Fourth Proportional to 1,587.29, 2,381.40 and 491.73

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Solution

The fourth proportional to 1,587.29, 2,381.40 and 491.73 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.29 : 2,381.40 = 491.73 : x
  2. Step 2: Convert to fraction form
    1,587.29/2,381.40 = 491.73/x
  3. Step 3: Cross multiply
    1,587.29x = 2,381.40 × 491.73
  4. Step 4: Simplify right side
    1,587.29x = 1,171,005.82
  5. Step 5: Solve for x
    x = 1,171,005.82/1,587.29
  6. Step 6: Final answer
    x = 737.74

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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.