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Finding the Fourth Proportional to 617.63, 928.56 and 566.39

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Solution

The fourth proportional to 617.63, 928.56 and 566.39 is: 851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 928.56 = 566.39 : x
  2. Step 2: Convert to fraction form
    617.63/928.56 = 566.39/x
  3. Step 3: Cross multiply
    617.63x = 928.56 × 566.39
  4. Step 4: Simplify right side
    617.63x = 525,931.54
  5. Step 5: Solve for x
    x = 525,931.54/617.63
  6. Step 6: Final answer
    x = 851.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.