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Finding the Fourth Proportional to 565.83, 853.08 and 558.54

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Solution

The fourth proportional to 565.83, 853.08 and 558.54 is: 842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 853.08 = 558.54 : x
  2. Step 2: Convert to fraction form
    565.83/853.08 = 558.54/x
  3. Step 3: Cross multiply
    565.83x = 853.08 × 558.54
  4. Step 4: Simplify right side
    565.83x = 476,479.30
  5. Step 5: Solve for x
    x = 476,479.30/565.83
  6. Step 6: Final answer
    x = 842.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.