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Finding the Fourth Proportional to 810.08, 1,215.57 and 377.24

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Solution

The fourth proportional to 810.08, 1,215.57 and 377.24 is: 566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.08 : 1,215.57 = 377.24 : x
  2. Step 2: Convert to fraction form
    810.08/1,215.57 = 377.24/x
  3. Step 3: Cross multiply
    810.08x = 1,215.57 × 377.24
  4. Step 4: Simplify right side
    810.08x = 458,556.96
  5. Step 5: Solve for x
    x = 458,556.96/810.08
  6. Step 6: Final answer
    x = 566.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.