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Finding the Fourth Proportional to 1,165.53, 1,746.92 and 580.36

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Solution

The fourth proportional to 1,165.53, 1,746.92 and 580.36 is: 869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.53 : 1,746.92 = 580.36 : x
  2. Step 2: Convert to fraction form
    1,165.53/1,746.92 = 580.36/x
  3. Step 3: Cross multiply
    1,165.53x = 1,746.92 × 580.36
  4. Step 4: Simplify right side
    1,165.53x = 1,013,842.49
  5. Step 5: Solve for x
    x = 1,013,842.49/1,165.53
  6. Step 6: Final answer
    x = 869.86

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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.