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Finding the Fourth Proportional to 617.28, 851.40 and 407.10

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Solution

The fourth proportional to 617.28, 851.40 and 407.10 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 851.40 = 407.10 : x
  2. Step 2: Convert to fraction form
    617.28/851.40 = 407.10/x
  3. Step 3: Cross multiply
    617.28x = 851.40 × 407.10
  4. Step 4: Simplify right side
    617.28x = 346,604.94
  5. Step 5: Solve for x
    x = 346,604.94/617.28
  6. Step 6: Final answer
    x = 561.50

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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.