Home / 1,159.00-1,738.53-456.18

Finding the Fourth Proportional to 1,159.00, 1,738.53 and 456.18

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Solution

The fourth proportional to 1,159.00, 1,738.53 and 456.18 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.00 : 1,738.53 = 456.18 : x
  2. Step 2: Convert to fraction form
    1,159.00/1,738.53 = 456.18/x
  3. Step 3: Cross multiply
    1,159.00x = 1,738.53 × 456.18
  4. Step 4: Simplify right side
    1,159.00x = 793,076.10
  5. Step 5: Solve for x
    x = 793,076.10/1,159.00
  6. Step 6: Final answer
    x = 684.28

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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.