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Finding the Fourth Proportional to 1,157.00, 1,731.85 and 792.50

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Solution

The fourth proportional to 1,157.00, 1,731.85 and 792.50 is: 1,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.00 : 1,731.85 = 792.50 : x
  2. Step 2: Convert to fraction form
    1,157.00/1,731.85 = 792.50/x
  3. Step 3: Cross multiply
    1,157.00x = 1,731.85 × 792.50
  4. Step 4: Simplify right side
    1,157.00x = 1,372,480.48
  5. Step 5: Solve for x
    x = 1,372,480.48/1,157.00
  6. Step 6: Final answer
    x = 1,186.25

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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.