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Finding the Fourth Proportional to 1,407.41, 2,111.29 and 586.24

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Solution

The fourth proportional to 1,407.41, 2,111.29 and 586.24 is: 879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.41 : 2,111.29 = 586.24 : x
  2. Step 2: Convert to fraction form
    1,407.41/2,111.29 = 586.24/x
  3. Step 3: Cross multiply
    1,407.41x = 2,111.29 × 586.24
  4. Step 4: Simplify right side
    1,407.41x = 1,237,722.65
  5. Step 5: Solve for x
    x = 1,237,722.65/1,407.41
  6. Step 6: Final answer
    x = 879.43

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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.