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Finding the Fourth Proportional to 568.16, 784.28 and 489.80

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Solution

The fourth proportional to 568.16, 784.28 and 489.80 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.16 : 784.28 = 489.80 : x
  2. Step 2: Convert to fraction form
    568.16/784.28 = 489.80/x
  3. Step 3: Cross multiply
    568.16x = 784.28 × 489.80
  4. Step 4: Simplify right side
    568.16x = 384,139.12
  5. Step 5: Solve for x
    x = 384,139.12/568.16
  6. Step 6: Final answer
    x = 676.11

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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.