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Finding the Fourth Proportional to 817.71, 1,128.45 and 463.65

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Solution

The fourth proportional to 817.71, 1,128.45 and 463.65 is: 639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.71 : 1,128.45 = 463.65 : x
  2. Step 2: Convert to fraction form
    817.71/1,128.45 = 463.65/x
  3. Step 3: Cross multiply
    817.71x = 1,128.45 × 463.65
  4. Step 4: Simplify right side
    817.71x = 523,205.84
  5. Step 5: Solve for x
    x = 523,205.84/817.71
  6. Step 6: Final answer
    x = 639.84

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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.