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Finding the Fourth Proportional to 816.36, 1,230.07 and 675.24

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Solution

The fourth proportional to 816.36, 1,230.07 and 675.24 is: 1,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.36 : 1,230.07 = 675.24 : x
  2. Step 2: Convert to fraction form
    816.36/1,230.07 = 675.24/x
  3. Step 3: Cross multiply
    816.36x = 1,230.07 × 675.24
  4. Step 4: Simplify right side
    816.36x = 830,592.47
  5. Step 5: Solve for x
    x = 830,592.47/816.36
  6. Step 6: Final answer
    x = 1,017.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.