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Finding the Fourth Proportional to 568.98, 785.58 and 438.30

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Solution

The fourth proportional to 568.98, 785.58 and 438.30 is: 605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.98 : 785.58 = 438.30 : x
  2. Step 2: Convert to fraction form
    568.98/785.58 = 438.30/x
  3. Step 3: Cross multiply
    568.98x = 785.58 × 438.30
  4. Step 4: Simplify right side
    568.98x = 344,313.59
  5. Step 5: Solve for x
    x = 344,313.59/568.98
  6. Step 6: Final answer
    x = 605.15

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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.