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Finding the Fourth Proportional to 810.10, 1,214.53 and 376.94

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Solution

The fourth proportional to 810.10, 1,214.53 and 376.94 is: 565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.10 : 1,214.53 = 376.94 : x
  2. Step 2: Convert to fraction form
    810.10/1,214.53 = 376.94/x
  3. Step 3: Cross multiply
    810.10x = 1,214.53 × 376.94
  4. Step 4: Simplify right side
    810.10x = 457,804.94
  5. Step 5: Solve for x
    x = 457,804.94/810.10
  6. Step 6: Final answer
    x = 565.12

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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.