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Finding the Fourth Proportional to 568.18, 781.12 and 564.67

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Solution

The fourth proportional to 568.18, 781.12 and 564.67 is: 776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.18 : 781.12 = 564.67 : x
  2. Step 2: Convert to fraction form
    568.18/781.12 = 564.67/x
  3. Step 3: Cross multiply
    568.18x = 781.12 × 564.67
  4. Step 4: Simplify right side
    568.18x = 441,075.03
  5. Step 5: Solve for x
    x = 441,075.03/568.18
  6. Step 6: Final answer
    x = 776.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.