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Finding the Fourth Proportional to 469.09, 647.13 and 282.47

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Solution

The fourth proportional to 469.09, 647.13 and 282.47 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.09 : 647.13 = 282.47 : x
  2. Step 2: Convert to fraction form
    469.09/647.13 = 282.47/x
  3. Step 3: Cross multiply
    469.09x = 647.13 × 282.47
  4. Step 4: Simplify right side
    469.09x = 182,794.81
  5. Step 5: Solve for x
    x = 182,794.81/469.09
  6. Step 6: Final answer
    x = 389.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.