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Finding the Fourth Proportional to 811.04, 1,217.64 and 464.72

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Solution

The fourth proportional to 811.04, 1,217.64 and 464.72 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.04 : 1,217.64 = 464.72 : x
  2. Step 2: Convert to fraction form
    811.04/1,217.64 = 464.72/x
  3. Step 3: Cross multiply
    811.04x = 1,217.64 × 464.72
  4. Step 4: Simplify right side
    811.04x = 565,861.66
  5. Step 5: Solve for x
    x = 565,861.66/811.04
  6. Step 6: Final answer
    x = 697.70

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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.