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Finding the Fourth Proportional to 1,740.83, 2,610.74 and 815.90

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Solution

The fourth proportional to 1,740.83, 2,610.74 and 815.90 is: 1,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.83 : 2,610.74 = 815.90 : x
  2. Step 2: Convert to fraction form
    1,740.83/2,610.74 = 815.90/x
  3. Step 3: Cross multiply
    1,740.83x = 2,610.74 × 815.90
  4. Step 4: Simplify right side
    1,740.83x = 2,130,085.63
  5. Step 5: Solve for x
    x = 2,130,085.63/1,740.83
  6. Step 6: Final answer
    x = 1,223.61

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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.