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Finding the Fourth Proportional to 560.12, 778.31 and 554.12

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Solution

The fourth proportional to 560.12, 778.31 and 554.12 is: 769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.12 : 778.31 = 554.12 : x
  2. Step 2: Convert to fraction form
    560.12/778.31 = 554.12/x
  3. Step 3: Cross multiply
    560.12x = 778.31 × 554.12
  4. Step 4: Simplify right side
    560.12x = 431,277.14
  5. Step 5: Solve for x
    x = 431,277.14/560.12
  6. Step 6: Final answer
    x = 769.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.