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Finding the Fourth Proportional to 559.08, 776.88 and 553.14

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Solution

The fourth proportional to 559.08, 776.88 and 553.14 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.08 : 776.88 = 553.14 : x
  2. Step 2: Convert to fraction form
    559.08/776.88 = 553.14/x
  3. Step 3: Cross multiply
    559.08x = 776.88 × 553.14
  4. Step 4: Simplify right side
    559.08x = 429,723.40
  5. Step 5: Solve for x
    x = 429,723.40/559.08
  6. Step 6: Final answer
    x = 768.63

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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.