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Finding the Fourth Proportional to 810.67, 1,216.10 and 399.46

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Solution

The fourth proportional to 810.67, 1,216.10 and 399.46 is: 599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.67 : 1,216.10 = 399.46 : x
  2. Step 2: Convert to fraction form
    810.67/1,216.10 = 399.46/x
  3. Step 3: Cross multiply
    810.67x = 1,216.10 × 399.46
  4. Step 4: Simplify right side
    810.67x = 485,783.31
  5. Step 5: Solve for x
    x = 485,783.31/810.67
  6. Step 6: Final answer
    x = 599.24

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1.5x scale

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.