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Finding the Fourth Proportional to 810.30, 1,214.64 and 444.33

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Solution

The fourth proportional to 810.30, 1,214.64 and 444.33 is: 666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.30 : 1,214.64 = 444.33 : x
  2. Step 2: Convert to fraction form
    810.30/1,214.64 = 444.33/x
  3. Step 3: Cross multiply
    810.30x = 1,214.64 × 444.33
  4. Step 4: Simplify right side
    810.30x = 539,700.99
  5. Step 5: Solve for x
    x = 539,700.99/810.30
  6. Step 6: Final answer
    x = 666.05

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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.