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Finding the Fourth Proportional to 1,651, 2,476.76 and 785.02

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Solution

The fourth proportional to 1,651, 2,476.76 and 785.02 is: 1,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651 : 2,476.76 = 785.02 : x
  2. Step 2: Convert to fraction form
    1,651/2,476.76 = 785.02/x
  3. Step 3: Cross multiply
    1,651x = 2,476.76 × 785.02
  4. Step 4: Simplify right side
    1,651x = 1,944,306.14
  5. Step 5: Solve for x
    x = 1,944,306.14/1,651
  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.