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Finding the Fourth Proportional to 625.76, 858.80 and 567.44

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Solution

The fourth proportional to 625.76, 858.80 and 567.44 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.76 : 858.80 = 567.44 : x
  2. Step 2: Convert to fraction form
    625.76/858.80 = 567.44/x
  3. Step 3: Cross multiply
    625.76x = 858.80 × 567.44
  4. Step 4: Simplify right side
    625.76x = 487,317.47
  5. Step 5: Solve for x
    x = 487,317.47/625.76
  6. Step 6: Final answer
    x = 778.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.