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Finding the Fourth Proportional to 810.08, 1,214.94 and 377

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Solution

The fourth proportional to 810.08, 1,214.94 and 377 is: 565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.08 : 1,214.94 = 377 : x
  2. Step 2: Convert to fraction form
    810.08/1,214.94 = 377/x
  3. Step 3: Cross multiply
    810.08x = 1,214.94 × 377
  4. Step 4: Simplify right side
    810.08x = 458,032.38
  5. Step 5: Solve for x
    x = 458,032.38/810.08
  6. Step 6: Final answer
    x = 565.42

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