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Finding the Fourth Proportional to 1,332.51, 1,998.80 and 785.09

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Solution

The fourth proportional to 1,332.51, 1,998.80 and 785.09 is: 1,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.51 : 1,998.80 = 785.09 : x
  2. Step 2: Convert to fraction form
    1,332.51/1,998.80 = 785.09/x
  3. Step 3: Cross multiply
    1,332.51x = 1,998.80 × 785.09
  4. Step 4: Simplify right side
    1,332.51x = 1,569,227.90
  5. Step 5: Solve for x
    x = 1,569,227.90/1,332.51
  6. Step 6: Final answer
    x = 1,177.65

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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.