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Finding the Fourth Proportional to 816.60, 1,127.84 and 554.16

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Solution

The fourth proportional to 816.60, 1,127.84 and 554.16 is: 765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.60 : 1,127.84 = 554.16 : x
  2. Step 2: Convert to fraction form
    816.60/1,127.84 = 554.16/x
  3. Step 3: Cross multiply
    816.60x = 1,127.84 × 554.16
  4. Step 4: Simplify right side
    816.60x = 625,003.81
  5. Step 5: Solve for x
    x = 625,003.81/816.60
  6. Step 6: Final answer
    x = 765.37

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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.