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Finding the Fourth Proportional to 810.64, 1,217.17 and 464.36

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Solution

The fourth proportional to 810.64, 1,217.17 and 464.36 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.64 : 1,217.17 = 464.36 : x
  2. Step 2: Convert to fraction form
    810.64/1,217.17 = 464.36/x
  3. Step 3: Cross multiply
    810.64x = 1,217.17 × 464.36
  4. Step 4: Simplify right side
    810.64x = 565,208.68
  5. Step 5: Solve for x
    x = 565,208.68/810.64
  6. Step 6: Final answer
    x = 697.24

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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.