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Finding the Fourth Proportional to 559.77, 834.57 and 545.34

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Solution

The fourth proportional to 559.77, 834.57 and 545.34 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.77 : 834.57 = 545.34 : x
  2. Step 2: Convert to fraction form
    559.77/834.57 = 545.34/x
  3. Step 3: Cross multiply
    559.77x = 834.57 × 545.34
  4. Step 4: Simplify right side
    559.77x = 455,124.40
  5. Step 5: Solve for x
    x = 455,124.40/559.77
  6. Step 6: Final answer
    x = 813.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.