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Finding the Fourth Proportional to 816.17, 1,125.75 and 521.30

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Solution

The fourth proportional to 816.17, 1,125.75 and 521.30 is: 719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.17 : 1,125.75 = 521.30 : x
  2. Step 2: Convert to fraction form
    816.17/1,125.75 = 521.30/x
  3. Step 3: Cross multiply
    816.17x = 1,125.75 × 521.30
  4. Step 4: Simplify right side
    816.17x = 586,858.35
  5. Step 5: Solve for x
    x = 586,858.35/816.17
  6. Step 6: Final answer
    x = 719.04

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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.