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Finding the Fourth Proportional to 494.22, 740.50 and 476.40

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Solution

The fourth proportional to 494.22, 740.50 and 476.40 is: 713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.22 : 740.50 = 476.40 : x
  2. Step 2: Convert to fraction form
    494.22/740.50 = 476.40/x
  3. Step 3: Cross multiply
    494.22x = 740.50 × 476.40
  4. Step 4: Simplify right side
    494.22x = 352,774.20
  5. Step 5: Solve for x
    x = 352,774.20/494.22
  6. Step 6: Final answer
    x = 713.80

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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.