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Finding the Fourth Proportional to 810.85, 1,215.60 and 377.71

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Solution

The fourth proportional to 810.85, 1,215.60 and 377.71 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.85 : 1,215.60 = 377.71 : x
  2. Step 2: Convert to fraction form
    810.85/1,215.60 = 377.71/x
  3. Step 3: Cross multiply
    810.85x = 1,215.60 × 377.71
  4. Step 4: Simplify right side
    810.85x = 459,144.28
  5. Step 5: Solve for x
    x = 459,144.28/810.85
  6. Step 6: Final answer
    x = 566.25

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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.