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Finding the Fourth Proportional to 810.36, 1,214.82 and 297.24

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Solution

The fourth proportional to 810.36, 1,214.82 and 297.24 is: 445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.36 : 1,214.82 = 297.24 : x
  2. Step 2: Convert to fraction form
    810.36/1,214.82 = 297.24/x
  3. Step 3: Cross multiply
    810.36x = 1,214.82 × 297.24
  4. Step 4: Simplify right side
    810.36x = 361,093.10
  5. Step 5: Solve for x
    x = 361,093.10/810.36
  6. Step 6: Final answer
    x = 445.60

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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.