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Finding the Fourth Proportional to 1,566.34, 2,347.79 and 785.09

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Solution

The fourth proportional to 1,566.34, 2,347.79 and 785.09 is: 1,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.34 : 2,347.79 = 785.09 : x
  2. Step 2: Convert to fraction form
    1,566.34/2,347.79 = 785.09/x
  3. Step 3: Cross multiply
    1,566.34x = 2,347.79 × 785.09
  4. Step 4: Simplify right side
    1,566.34x = 1,843,228.40
  5. Step 5: Solve for x
    x = 1,843,228.40/1,566.34
  6. Step 6: Final answer
    x = 1,176.78

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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.