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Finding the Fourth Proportional to 816.07, 1,125.68 and 484.43

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Solution

The fourth proportional to 816.07, 1,125.68 and 484.43 is: 668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.07 : 1,125.68 = 484.43 : x
  2. Step 2: Convert to fraction form
    816.07/1,125.68 = 484.43/x
  3. Step 3: Cross multiply
    816.07x = 1,125.68 × 484.43
  4. Step 4: Simplify right side
    816.07x = 545,307.53
  5. Step 5: Solve for x
    x = 545,307.53/816.07
  6. Step 6: Final answer
    x = 668.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.