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Finding the Fourth Proportional to 623, 861.34 and 595.80

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Solution

The fourth proportional to 623, 861.34 and 595.80 is: 823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623 : 861.34 = 595.80 : x
  2. Step 2: Convert to fraction form
    623/861.34 = 595.80/x
  3. Step 3: Cross multiply
    623x = 861.34 × 595.80
  4. Step 4: Simplify right side
    623x = 513,186.37
  5. Step 5: Solve for x
    x = 513,186.37/623
  6. Step 6: Final answer
    x = 823.73

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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.