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Finding the Fourth Proportional to 568.84, 784.50 and 421.84

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Solution

The fourth proportional to 568.84, 784.50 and 421.84 is: 581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.84 : 784.50 = 421.84 : x
  2. Step 2: Convert to fraction form
    568.84/784.50 = 421.84/x
  3. Step 3: Cross multiply
    568.84x = 784.50 × 421.84
  4. Step 4: Simplify right side
    568.84x = 330,933.48
  5. Step 5: Solve for x
    x = 330,933.48/568.84
  6. Step 6: Final answer
    x = 581.77

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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.