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Finding the Fourth Proportional to 462.28, 690.04 and 407.60

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Solution

The fourth proportional to 462.28, 690.04 and 407.60 is: 608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.28 : 690.04 = 407.60 : x
  2. Step 2: Convert to fraction form
    462.28/690.04 = 407.60/x
  3. Step 3: Cross multiply
    462.28x = 690.04 × 407.60
  4. Step 4: Simplify right side
    462.28x = 281,260.30
  5. Step 5: Solve for x
    x = 281,260.30/462.28
  6. Step 6: Final answer
    x = 608.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.