Home / 1,157.40-1,736.19-508.59

Finding the Fourth Proportional to 1,157.40, 1,736.19 and 508.59

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Solution

The fourth proportional to 1,157.40, 1,736.19 and 508.59 is: 762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.40 : 1,736.19 = 508.59 : x
  2. Step 2: Convert to fraction form
    1,157.40/1,736.19 = 508.59/x
  3. Step 3: Cross multiply
    1,157.40x = 1,736.19 × 508.59
  4. Step 4: Simplify right side
    1,157.40x = 883,008.87
  5. Step 5: Solve for x
    x = 883,008.87/1,157.40
  6. Step 6: Final answer
    x = 762.92

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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.