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Finding the Fourth Proportional to 817.67, 1,128.34 and 463.55

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Solution

The fourth proportional to 817.67, 1,128.34 and 463.55 is: 639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.67 : 1,128.34 = 463.55 : x
  2. Step 2: Convert to fraction form
    817.67/1,128.34 = 463.55/x
  3. Step 3: Cross multiply
    817.67x = 1,128.34 × 463.55
  4. Step 4: Simplify right side
    817.67x = 523,042.01
  5. Step 5: Solve for x
    x = 523,042.01/817.67
  6. Step 6: Final answer
    x = 639.67

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1.5x scale

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.