Home / 1,165.00-1,746.45-434.07

Finding the Fourth Proportional to 1,165.00, 1,746.45 and 434.07

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Solution

The fourth proportional to 1,165.00, 1,746.45 and 434.07 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.00 : 1,746.45 = 434.07 : x
  2. Step 2: Convert to fraction form
    1,165.00/1,746.45 = 434.07/x
  3. Step 3: Cross multiply
    1,165.00x = 1,746.45 × 434.07
  4. Step 4: Simplify right side
    1,165.00x = 758,079.38
  5. Step 5: Solve for x
    x = 758,079.38/1,165.00
  6. Step 6: Final answer
    x = 650.71

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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.