Home / 1,165.74-1,746.44-580.04

Finding the Fourth Proportional to 1,165.74, 1,746.44 and 580.04

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Solution

The fourth proportional to 1,165.74, 1,746.44 and 580.04 is: 868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.74 : 1,746.44 = 580.04 : x
  2. Step 2: Convert to fraction form
    1,165.74/1,746.44 = 580.04/x
  3. Step 3: Cross multiply
    1,165.74x = 1,746.44 × 580.04
  4. Step 4: Simplify right side
    1,165.74x = 1,013,005.06
  5. Step 5: Solve for x
    x = 1,013,005.06/1,165.74
  6. Step 6: Final answer
    x = 868.98

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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.