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Finding the Fourth Proportional to 406.47, 609.10 and 283.49

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Solution

The fourth proportional to 406.47, 609.10 and 283.49 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.10 = 283.49 : x
  2. Step 2: Convert to fraction form
    406.47/609.10 = 283.49/x
  3. Step 3: Cross multiply
    406.47x = 609.10 × 283.49
  4. Step 4: Simplify right side
    406.47x = 172,670.00
  5. Step 5: Solve for x
    x = 172,670.00/406.47
  6. Step 6: Final answer
    x = 424.80

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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.