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Finding the Fourth Proportional to 587.62, 810.81 and 380.50

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Solution

The fourth proportional to 587.62, 810.81 and 380.50 is: 525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.62 : 810.81 = 380.50 : x
  2. Step 2: Convert to fraction form
    587.62/810.81 = 380.50/x
  3. Step 3: Cross multiply
    587.62x = 810.81 × 380.50
  4. Step 4: Simplify right side
    587.62x = 308,513.21
  5. Step 5: Solve for x
    x = 308,513.21/587.62
  6. Step 6: Final answer
    x = 525.02

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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.