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Finding the Fourth Proportional to 568.84, 783.16 and 442.65

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Solution

The fourth proportional to 568.84, 783.16 and 442.65 is: 609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.84 : 783.16 = 442.65 : x
  2. Step 2: Convert to fraction form
    568.84/783.16 = 442.65/x
  3. Step 3: Cross multiply
    568.84x = 783.16 × 442.65
  4. Step 4: Simplify right side
    568.84x = 346,662.41
  5. Step 5: Solve for x
    x = 346,662.41/568.84
  6. Step 6: Final answer
    x = 609.43

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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.