Home / 1,165.10-1,747.22-434.66

Finding the Fourth Proportional to 1,165.10, 1,747.22 and 434.66

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Solution

The fourth proportional to 1,165.10, 1,747.22 and 434.66 is: 651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.10 : 1,747.22 = 434.66 : x
  2. Step 2: Convert to fraction form
    1,165.10/1,747.22 = 434.66/x
  3. Step 3: Cross multiply
    1,165.10x = 1,747.22 × 434.66
  4. Step 4: Simplify right side
    1,165.10x = 759,446.65
  5. Step 5: Solve for x
    x = 759,446.65/1,165.10
  6. Step 6: Final answer
    x = 651.83

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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.