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Finding the Fourth Proportional to 494.28, 740.21 and 407.07

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Solution

The fourth proportional to 494.28, 740.21 and 407.07 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 740.21 = 407.07 : x
  2. Step 2: Convert to fraction form
    494.28/740.21 = 407.07/x
  3. Step 3: Cross multiply
    494.28x = 740.21 × 407.07
  4. Step 4: Simplify right side
    494.28x = 301,315.25
  5. Step 5: Solve for x
    x = 301,315.25/494.28
  6. Step 6: Final answer
    x = 609.60

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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.