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Finding the Fourth Proportional to 817.42, 1,128.06 and 463.28

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Solution

The fourth proportional to 817.42, 1,128.06 and 463.28 is: 639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.42 : 1,128.06 = 463.28 : x
  2. Step 2: Convert to fraction form
    817.42/1,128.06 = 463.28/x
  3. Step 3: Cross multiply
    817.42x = 1,128.06 × 463.28
  4. Step 4: Simplify right side
    817.42x = 522,607.64
  5. Step 5: Solve for x
    x = 522,607.64/817.42
  6. Step 6: Final answer
    x = 639.34

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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.