Home / 1,157.60-1,736.40-580.34

Finding the Fourth Proportional to 1,157.60, 1,736.40 and 580.34

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Solution

The fourth proportional to 1,157.60, 1,736.40 and 580.34 is: 870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.60 : 1,736.40 = 580.34 : x
  2. Step 2: Convert to fraction form
    1,157.60/1,736.40 = 580.34/x
  3. Step 3: Cross multiply
    1,157.60x = 1,736.40 × 580.34
  4. Step 4: Simplify right side
    1,157.60x = 1,007,702.38
  5. Step 5: Solve for x
    x = 1,007,702.38/1,157.60
  6. Step 6: Final answer
    x = 870.51

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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.