Home / 1,735.20-2,601.15-580.14

Finding the Fourth Proportional to 1,735.20, 2,601.15 and 580.14

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Solution

The fourth proportional to 1,735.20, 2,601.15 and 580.14 is: 869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.20 : 2,601.15 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,735.20/2,601.15 = 580.14/x
  3. Step 3: Cross multiply
    1,735.20x = 2,601.15 × 580.14
  4. Step 4: Simplify right side
    1,735.20x = 1,509,031.16
  5. Step 5: Solve for x
    x = 1,509,031.16/1,735.20
  6. Step 6: Final answer
    x = 869.66

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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.