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Finding the Fourth Proportional to 568.08, 783.85 and 358.11

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Solution

The fourth proportional to 568.08, 783.85 and 358.11 is: 494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 783.85 = 358.11 : x
  2. Step 2: Convert to fraction form
    568.08/783.85 = 358.11/x
  3. Step 3: Cross multiply
    568.08x = 783.85 × 358.11
  4. Step 4: Simplify right side
    568.08x = 280,703.63
  5. Step 5: Solve for x
    x = 280,703.63/568.08
  6. Step 6: Final answer
    x = 494.13

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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.