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Finding the Fourth Proportional to 810.44, 1,215.66 and 377.90

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Solution

The fourth proportional to 810.44, 1,215.66 and 377.90 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.44 : 1,215.66 = 377.90 : x
  2. Step 2: Convert to fraction form
    810.44/1,215.66 = 377.90/x
  3. Step 3: Cross multiply
    810.44x = 1,215.66 × 377.90
  4. Step 4: Simplify right side
    810.44x = 459,397.91
  5. Step 5: Solve for x
    x = 459,397.91/810.44
  6. Step 6: Final answer
    x = 566.85

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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.