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Finding the Fourth Proportional to 1,209.65, 1,813.74 and 661.07

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Solution

The fourth proportional to 1,209.65, 1,813.74 and 661.07 is: 991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.65 : 1,813.74 = 661.07 : x
  2. Step 2: Convert to fraction form
    1,209.65/1,813.74 = 661.07/x
  3. Step 3: Cross multiply
    1,209.65x = 1,813.74 × 661.07
  4. Step 4: Simplify right side
    1,209.65x = 1,199,009.10
  5. Step 5: Solve for x
    x = 1,199,009.10/1,209.65
  6. Step 6: Final answer
    x = 991.20

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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.