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Finding the Fourth Proportional to 565.58, 779.10 and 491.77

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Solution

The fourth proportional to 565.58, 779.10 and 491.77 is: 677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 779.10 = 491.77 : x
  2. Step 2: Convert to fraction form
    565.58/779.10 = 491.77/x
  3. Step 3: Cross multiply
    565.58x = 779.10 × 491.77
  4. Step 4: Simplify right side
    565.58x = 383,135.52
  5. Step 5: Solve for x
    x = 383,135.52/565.58
  6. Step 6: Final answer
    x = 677.42

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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.