Home / 1,157.29-1,736.25-498.79

Finding the Fourth Proportional to 1,157.29, 1,736.25 and 498.79

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Solution

The fourth proportional to 1,157.29, 1,736.25 and 498.79 is: 748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.29 : 1,736.25 = 498.79 : x
  2. Step 2: Convert to fraction form
    1,157.29/1,736.25 = 498.79/x
  3. Step 3: Cross multiply
    1,157.29x = 1,736.25 × 498.79
  4. Step 4: Simplify right side
    1,157.29x = 866,024.14
  5. Step 5: Solve for x
    x = 866,024.14/1,157.29
  6. Step 6: Final answer
    x = 748.32

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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.