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Finding the Fourth Proportional to 770.92, 1,157.09 and 554.65

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Solution

The fourth proportional to 770.92, 1,157.09 and 554.65 is: 832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.92 : 1,157.09 = 554.65 : x
  2. Step 2: Convert to fraction form
    770.92/1,157.09 = 554.65/x
  3. Step 3: Cross multiply
    770.92x = 1,157.09 × 554.65
  4. Step 4: Simplify right side
    770.92x = 641,774.30
  5. Step 5: Solve for x
    x = 641,774.30/770.92
  6. Step 6: Final answer
    x = 832.48

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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.