Home / 1,587.38-2,381.15-491.66

Finding the Fourth Proportional to 1,587.38, 2,381.15 and 491.66

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Solution

The fourth proportional to 1,587.38, 2,381.15 and 491.66 is: 737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.38 : 2,381.15 = 491.66 : x
  2. Step 2: Convert to fraction form
    1,587.38/2,381.15 = 491.66/x
  3. Step 3: Cross multiply
    1,587.38x = 2,381.15 × 491.66
  4. Step 4: Simplify right side
    1,587.38x = 1,170,705.53
  5. Step 5: Solve for x
    x = 1,170,705.53/1,587.38
  6. Step 6: Final answer
    x = 737.51

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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.