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Finding the Fourth Proportional to 568.92, 785.21 and 403.14

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Solution

The fourth proportional to 568.92, 785.21 and 403.14 is: 556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.92 : 785.21 = 403.14 : x
  2. Step 2: Convert to fraction form
    568.92/785.21 = 403.14/x
  3. Step 3: Cross multiply
    568.92x = 785.21 × 403.14
  4. Step 4: Simplify right side
    568.92x = 316,549.56
  5. Step 5: Solve for x
    x = 316,549.56/568.92
  6. Step 6: Final answer
    x = 556.40

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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.