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Finding the Fourth Proportional to 617.40, 926.64 and 564.48

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Solution

The fourth proportional to 617.40, 926.64 and 564.48 is: 847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 926.64 = 564.48 : x
  2. Step 2: Convert to fraction form
    617.40/926.64 = 564.48/x
  3. Step 3: Cross multiply
    617.40x = 926.64 × 564.48
  4. Step 4: Simplify right side
    617.40x = 523,069.75
  5. Step 5: Solve for x
    x = 523,069.75/617.40
  6. Step 6: Final answer
    x = 847.21

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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.