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Finding the Fourth Proportional to 497.58, 743.02 and 406.45

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Solution

The fourth proportional to 497.58, 743.02 and 406.45 is: 606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 743.02 = 406.45 : x
  2. Step 2: Convert to fraction form
    497.58/743.02 = 406.45/x
  3. Step 3: Cross multiply
    497.58x = 743.02 × 406.45
  4. Step 4: Simplify right side
    497.58x = 302,000.48
  5. Step 5: Solve for x
    x = 302,000.48/497.58
  6. Step 6: Final answer
    x = 606.94

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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.