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Finding the Fourth Proportional to 810.07, 1,215.51 and 324.07

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Solution

The fourth proportional to 810.07, 1,215.51 and 324.07 is: 486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.07 : 1,215.51 = 324.07 : x
  2. Step 2: Convert to fraction form
    810.07/1,215.51 = 324.07/x
  3. Step 3: Cross multiply
    810.07x = 1,215.51 × 324.07
  4. Step 4: Simplify right side
    810.07x = 393,910.33
  5. Step 5: Solve for x
    x = 393,910.33/810.07
  6. Step 6: Final answer
    x = 486.27

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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.