Home / 1,165.39-1,746.97-434.77

Finding the Fourth Proportional to 1,165.39, 1,746.97 and 434.77

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Solution

The fourth proportional to 1,165.39, 1,746.97 and 434.77 is: 651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.39 : 1,746.97 = 434.77 : x
  2. Step 2: Convert to fraction form
    1,165.39/1,746.97 = 434.77/x
  3. Step 3: Cross multiply
    1,165.39x = 1,746.97 × 434.77
  4. Step 4: Simplify right side
    1,165.39x = 759,524.69
  5. Step 5: Solve for x
    x = 759,524.69/1,165.39
  6. Step 6: Final answer
    x = 651.74

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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.