Home / 1,165.37-1,746.25-434.75

Finding the Fourth Proportional to 1,165.37, 1,746.25 and 434.75

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Solution

The fourth proportional to 1,165.37, 1,746.25 and 434.75 is: 651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.37 : 1,746.25 = 434.75 : x
  2. Step 2: Convert to fraction form
    1,165.37/1,746.25 = 434.75/x
  3. Step 3: Cross multiply
    1,165.37x = 1,746.25 × 434.75
  4. Step 4: Simplify right side
    1,165.37x = 759,182.19
  5. Step 5: Solve for x
    x = 759,182.19/1,165.37
  6. Step 6: Final answer
    x = 651.45

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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.