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Finding the Fourth Proportional to 617.71, 926.43 and 357.16

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Solution

The fourth proportional to 617.71, 926.43 and 357.16 is: 535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.71 : 926.43 = 357.16 : x
  2. Step 2: Convert to fraction form
    617.71/926.43 = 357.16/x
  3. Step 3: Cross multiply
    617.71x = 926.43 × 357.16
  4. Step 4: Simplify right side
    617.71x = 330,883.74
  5. Step 5: Solve for x
    x = 330,883.74/617.71
  6. Step 6: Final answer
    x = 535.66

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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.