Home / 1,412.56-2,118.33-632.02

Finding the Fourth Proportional to 1,412.56, 2,118.33 and 632.02

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Solution

The fourth proportional to 1,412.56, 2,118.33 and 632.02 is: 947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.56 : 2,118.33 = 632.02 : x
  2. Step 2: Convert to fraction form
    1,412.56/2,118.33 = 632.02/x
  3. Step 3: Cross multiply
    1,412.56x = 2,118.33 × 632.02
  4. Step 4: Simplify right side
    1,412.56x = 1,338,826.93
  5. Step 5: Solve for x
    x = 1,338,826.93/1,412.56
  6. Step 6: Final answer
    x = 947.80

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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.