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Finding the Fourth Proportional to 559.86, 770.34 and 545.55

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Solution

The fourth proportional to 559.86, 770.34 and 545.55 is: 750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 770.34 = 545.55 : x
  2. Step 2: Convert to fraction form
    559.86/770.34 = 545.55/x
  3. Step 3: Cross multiply
    559.86x = 770.34 × 545.55
  4. Step 4: Simplify right side
    559.86x = 420,258.99
  5. Step 5: Solve for x
    x = 420,258.99/559.86
  6. Step 6: Final answer
    x = 750.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.