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Finding the Fourth Proportional to 1,525.34, 2,290.10 and 785.56

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Solution

The fourth proportional to 1,525.34, 2,290.10 and 785.56 is: 1,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.34 : 2,290.10 = 785.56 : x
  2. Step 2: Convert to fraction form
    1,525.34/2,290.10 = 785.56/x
  3. Step 3: Cross multiply
    1,525.34x = 2,290.10 × 785.56
  4. Step 4: Simplify right side
    1,525.34x = 1,799,010.96
  5. Step 5: Solve for x
    x = 1,799,010.96/1,525.34
  6. Step 6: Final answer
    x = 1,179.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.