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Finding the Fourth Proportional to 623.52, 854.86 and 613.96

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Solution

The fourth proportional to 623.52, 854.86 and 613.96 is: 841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 854.86 = 613.96 : x
  2. Step 2: Convert to fraction form
    623.52/854.86 = 613.96/x
  3. Step 3: Cross multiply
    623.52x = 854.86 × 613.96
  4. Step 4: Simplify right side
    623.52x = 524,849.85
  5. Step 5: Solve for x
    x = 524,849.85/623.52
  6. Step 6: Final answer
    x = 841.75

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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.