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Finding the Fourth Proportional to 817.72, 1,127.16 and 555.28

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Solution

The fourth proportional to 817.72, 1,127.16 and 555.28 is: 765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.72 : 1,127.16 = 555.28 : x
  2. Step 2: Convert to fraction form
    817.72/1,127.16 = 555.28/x
  3. Step 3: Cross multiply
    817.72x = 1,127.16 × 555.28
  4. Step 4: Simplify right side
    817.72x = 625,889.40
  5. Step 5: Solve for x
    x = 625,889.40/817.72
  6. Step 6: Final answer
    x = 765.41

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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.