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Finding the Fourth Proportional to 560.08, 778.27 and 554.14

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Solution

The fourth proportional to 560.08, 778.27 and 554.14 is: 770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 778.27 = 554.14 : x
  2. Step 2: Convert to fraction form
    560.08/778.27 = 554.14/x
  3. Step 3: Cross multiply
    560.08x = 778.27 × 554.14
  4. Step 4: Simplify right side
    560.08x = 431,270.54
  5. Step 5: Solve for x
    x = 431,270.54/560.08
  6. Step 6: Final answer
    x = 770.02

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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.