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Finding the Fourth Proportional to 587.39, 810.58 and 321.82

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Solution

The fourth proportional to 587.39, 810.58 and 321.82 is: 444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.39 : 810.58 = 321.82 : x
  2. Step 2: Convert to fraction form
    587.39/810.58 = 321.82/x
  3. Step 3: Cross multiply
    587.39x = 810.58 × 321.82
  4. Step 4: Simplify right side
    587.39x = 260,860.86
  5. Step 5: Solve for x
    x = 260,860.86/587.39
  6. Step 6: Final answer
    x = 444.10

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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.