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Finding the Fourth Proportional to 1,407.38, 2,109.62 and 586.13

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Solution

The fourth proportional to 1,407.38, 2,109.62 and 586.13 is: 878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.38 : 2,109.62 = 586.13 : x
  2. Step 2: Convert to fraction form
    1,407.38/2,109.62 = 586.13/x
  3. Step 3: Cross multiply
    1,407.38x = 2,109.62 × 586.13
  4. Step 4: Simplify right side
    1,407.38x = 1,236,498.09
  5. Step 5: Solve for x
    x = 1,236,498.09/1,407.38
  6. Step 6: Final answer
    x = 878.58

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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.