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Finding the Fourth Proportional to 469.41, 647.82 and 282.95

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Solution

The fourth proportional to 469.41, 647.82 and 282.95 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.41 : 647.82 = 282.95 : x
  2. Step 2: Convert to fraction form
    469.41/647.82 = 282.95/x
  3. Step 3: Cross multiply
    469.41x = 647.82 × 282.95
  4. Step 4: Simplify right side
    469.41x = 183,297.43
  5. Step 5: Solve for x
    x = 183,297.43/469.41
  6. Step 6: Final answer
    x = 390.48

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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.