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Finding the Fourth Proportional to 568.12, 783.88 and 361

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Solution

The fourth proportional to 568.12, 783.88 and 361 is: 498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.12 : 783.88 = 361 : x
  2. Step 2: Convert to fraction form
    568.12/783.88 = 361/x
  3. Step 3: Cross multiply
    568.12x = 783.88 × 361
  4. Step 4: Simplify right side
    568.12x = 282,980.68
  5. Step 5: Solve for x
    x = 282,980.68/568.12
  6. Step 6: Final answer
    x = 498.10

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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.