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Finding the Fourth Proportional to 810.49, 1,212.64 and 445.53

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Solution

The fourth proportional to 810.49, 1,212.64 and 445.53 is: 666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.49 : 1,212.64 = 445.53 : x
  2. Step 2: Convert to fraction form
    810.49/1,212.64 = 445.53/x
  3. Step 3: Cross multiply
    810.49x = 1,212.64 × 445.53
  4. Step 4: Simplify right side
    810.49x = 540,267.50
  5. Step 5: Solve for x
    x = 540,267.50/810.49
  6. Step 6: Final answer
    x = 666.59

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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.