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Finding the Fourth Proportional to 1,081.13, 1,491.72 and 609.00

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Solution

The fourth proportional to 1,081.13, 1,491.72 and 609.00 is: 840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.13 : 1,491.72 = 609.00 : x
  2. Step 2: Convert to fraction form
    1,081.13/1,491.72 = 609.00/x
  3. Step 3: Cross multiply
    1,081.13x = 1,491.72 × 609.00
  4. Step 4: Simplify right side
    1,081.13x = 908,457.99
  5. Step 5: Solve for x
    x = 908,457.99/1,081.13
  6. Step 6: Final answer
    x = 840.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.