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Finding the Fourth Proportional to 568.90, 784.10 and 421.90

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Solution

The fourth proportional to 568.90, 784.10 and 421.90 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.90 : 784.10 = 421.90 : x
  2. Step 2: Convert to fraction form
    568.90/784.10 = 421.90/x
  3. Step 3: Cross multiply
    568.90x = 784.10 × 421.90
  4. Step 4: Simplify right side
    568.90x = 330,811.79
  5. Step 5: Solve for x
    x = 330,811.79/568.90
  6. Step 6: Final answer
    x = 581.49

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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.